链表操作:遍历、插入和删除
有各种各样的链表操作,使我们能够对链表执行不同的操作。例如,插入操作会向链表中添加一个新元素。
以下是我们将在本文中介绍的一系列基本链表操作。
- 遍历 - 访问链表中的每个节点
- 插入 - 在链表中添加一个新节点
- 删除 - 从链表中删除一个节点
- 搜索 - 在链表中查找一个节点
- 排序 - 对链表节点进行排序
有关于链表需要记住的
- 头节点
head
指向链表第一个节点 - 最后一个节点的
next
指针指向NULL
,所以如果下一个节点是NULL
,我们就知道到达了链表的末尾
在所有的例子里,我们假定链表有3个节点1 ---> 2 ---> 3
,由以下节点结构组成:
c
struct node
{
int data;
struct node *next;
}
遍历链表
显示链表的内容非常简单。我们不断地将临时节点移动到下一个节点,并显示其内容
当临时节点(temp
)为NULL
(空)时,我们就知道已经到达了链表的末尾,所以我们会退出while循环。
C
struct node *temp = head;
printf("\n\nList elements are - \n");
while(temp != NULL) {
printf("%d --->",temp->data);
temp = temp->next;
}
上面代码的输出是:
List elements are -
1 --->2 --->3 --->
插入节点
你可以在链表的开头、中间或者结尾添加元素。
1、在开头插入
- 为新节点分配内存
- 存储数据
- 将新节点的
next
指针修改为指向头节点。 - 将头指针
head
修改为指向刚刚创建的节点
C
struct node *newNode;
newNode = malloc(sizeof(struct node));
newNode->data = 4;
newNode->next = head;
head = newNode;
2、在结尾插入
- 为新节点分配内存
- 存储数据
- 遍历到最后一个节点
- 修改最后一个节点的
next
指针,指向刚刚创建的节点
C
struct node *newNode;
newNode = malloc(sizeof(struct node));
newNode->data = 4;
newNode->next = NULL;
struct node *temp = head;
while(temp->next != NULL){
temp = temp->next;
}
temp->next = newNode;
3、在中间插入
- 为新节点分配内存和存储数据
- 遍历到新节点所需位置的前一个节点
- 修改
next
指针,使新节点包含在中间
C
struct node *newNode;
newNode = malloc(sizeof(struct node));
newNode->data = 4;
struct node *temp = head;
for(int i=2; i < position; i++) {
if(temp->next != NULL) {
temp = temp->next;
}
}
newNode->next = temp->next;
temp->next = newNode;
删除节点
你可以从开头、结尾或者从某个特定位置删除(元素)。
1、从开头删除
将头指针指向第二个节点。
C
head = head->next;
2、从结尾删除
- 遍历到倒数第二个节点
- 将其
next
指针设置为NULL
C
struct node* temp = head;
while(temp->next->next!=NULL){
temp = temp->next;
}
temp->next = NULL;
3、从中间删除
- 遍历到要删除节点的前一个节点
- 修改
next
指针,从而将该节点从链表中移除。
C
for(int i=2; i< position; i++) {
if(temp->next!=NULL) {
temp = temp->next;
}
}
temp->next = temp->next->next;
搜索节点
你可以使用循环按照以下步骤在链表上搜索一个元素。我们正在链表上查找某个项item
。
- 将头节点(
head
)设为当前节点(current
)。 - 循环直到
current
为NULL
,因为最后节点指向NULL
。 - 在每次迭代中,检查节点的键是否等于目标项。如果键与目标项
item
匹配,则返回 “true”,否则返回 “false”。
C
// Search a node
bool searchNode(struct Node** head_ref, int key) {
struct Node* current = *head_ref;
while (current != NULL) {
if (current->data == key) return true;
current = current->next;
}
return false;
}
排序链表
下面我们将使用一种简单的排序算法 —— 冒泡排序,来将链表中的元素按升序排列。
- 将头节点
head
设为当前current
节点,并创建另一个节点索引index
,以备后用。 - 如果
head
是null,返回 - 否则,循环直到最后一个节点(比如:
NULL
) - 在每一次迭代中,遵循5-6的步骤
- 将当前节点
current
的下一个节点存储到索引(节点)index
中 - 检查当前节点
current
的数据是否比下一个节点的大,如果大,交换current
和index
查看冒泡排序来加深理解
C
// Sort the linked list
void sortLinkedList(struct Node** head_ref) {
struct Node *current = *head_ref, *index = NULL;
int temp;
if (head_ref == NULL) {
return;
} else {
while (current != NULL) {
// index points to the node next to current
index = current->next;
while (index != NULL) {
if (current->data > index->data) {
temp = current->data;
current->data = index->data;
index->data = temp;
}
index = index->next;
}
current = current->next;
}
}
}
在 Python、Java、C 和 C++ 中的链表操作
python
# Linked list operations in Python
# Create a node
class Node:
def __init__(self, data):
self.data = data
self.next = None
class LinkedList:
def __init__(self):
self.head = None
# Insert at the beginning
def insertAtBeginning(self, new_data):
new_node = Node(new_data)
new_node.next = self.head
self.head = new_node
# Insert after a node
def insertAfter(self, prev_node, new_data):
if prev_node is None:
print("The given previous node must inLinkedList.")
return
new_node = Node(new_data)
new_node.next = prev_node.next
prev_node.next = new_node
# Insert at the end
def insertAtEnd(self, new_data):
new_node = Node(new_data)
if self.head is None:
self.head = new_node
return
last = self.head
while (last.next):
last = last.next
last.next = new_node
# Deleting a node
def deleteNode(self, position):
if self.head is None:
return
temp = self.head
if position == 0:
self.head = temp.next
temp = None
return
# Find the key to be deleted
for i in range(position - 1):
temp = temp.next
if temp is None:
break
# If the key is not present
if temp is None:
return
if temp.next is None:
return
next = temp.next.next
temp.next = None
temp.next = next
# Search an element
def search(self, key):
current = self.head
while current is not None:
if current.data == key:
return True
current = current.next
return False
# Sort the linked list
def sortLinkedList(self, head):
current = head
index = Node(None)
if head is None:
return
else:
while current is not None:
# index points to the node next to current
index = current.next
while index is not None:
if current.data > index.data:
current.data, index.data = index.data, current.data
index = index.next
current = current.next
# Print the linked list
def printList(self):
temp = self.head
while (temp):
print(str(temp.data) + " ", end="")
temp = temp.next
if __name__ == '__main__':
llist = LinkedList()
llist.insertAtEnd(1)
llist.insertAtBeginning(2)
llist.insertAtBeginning(3)
llist.insertAtEnd(4)
llist.insertAfter(llist.head.next, 5)
print('linked list:')
llist.printList()
print("\nAfter deleting an element:")
llist.deleteNode(3)
llist.printList()
print()
item_to_find = 3
if llist.search(item_to_find):
print(str(item_to_find) + " is found")
else:
print(str(item_to_find) + " is not found")
llist.sortLinkedList(llist.head)
print("Sorted List: ")
llist.printList()
Java
// Linked list operations in Java
class LinkedList {
Node head;
// Create a node
class Node {
int data;
Node next;
Node(int d) {
data = d;
next = null;
}
}
// Insert at the beginning
public void insertAtBeginning(int new_data) {
// insert the data
Node new_node = new Node(new_data);
new_node.next = head;
head = new_node;
}
// Insert after a node
public void insertAfter(Node prev_node, int new_data) {
if (prev_node == null) {
System.out.println("The given previous node cannot be null");
return;
}
Node new_node = new Node(new_data);
new_node.next = prev_node.next;
prev_node.next = new_node;
}
// Insert at the end
public void insertAtEnd(int new_data) {
Node new_node = new Node(new_data);
if (head == null) {
head = new Node(new_data);
return;
}
new_node.next = null;
Node last = head;
while (last.next != null)
last = last.next;
last.next = new_node;
return;
}
// Delete a node
void deleteNode(int position) {
if (head == null)
return;
Node temp = head;
if (position == 0) {
head = temp.next;
return;
}
// Find the key to be deleted
for (int i = 0; temp != null && i < position - 1; i++)
temp = temp.next;
// If the key is not present
if (temp == null || temp.next == null)
return;
// Remove the node
Node next = temp.next.next;
temp.next = next;
}
// Search a node
boolean search(Node head, int key) {
Node current = head;
while (current != null) {
if (current.data == key)
return true;
current = current.next;
}
return false;
}
// Sort the linked list
void sortLinkedList(Node head) {
Node current = head;
Node index = null;
int temp;
if (head == null) {
return;
} else {
while (current != null) {
// index points to the node next to current
index = current.next;
while (index != null) {
if (current.data > index.data) {
temp = current.data;
current.data = index.data;
index.data = temp;
}
index = index.next;
}
current = current.next;
}
}
}
// Print the linked list
public void printList() {
Node tnode = head;
while (tnode != null) {
System.out.print(tnode.data + " ");
tnode = tnode.next;
}
}
public static void main(String[] args) {
LinkedList llist = new LinkedList();
llist.insertAtEnd(1);
llist.insertAtBeginning(2);
llist.insertAtBeginning(3);
llist.insertAtEnd(4);
llist.insertAfter(llist.head.next, 5);
System.out.println("Linked list: ");
llist.printList();
System.out.println("\nAfter deleting an element: ");
llist.deleteNode(3);
llist.printList();
System.out.println();
int item_to_find = 3;
if (llist.search(llist.head, item_to_find))
System.out.println(item_to_find + " is found");
else
System.out.println(item_to_find + " is not found");
llist.sortLinkedList(llist.head);
System.out.println("\nSorted List: ");
llist.printList();
}
}
C
// Linked list operations in C
#include <stdio.h>
#include <stdlib.h>
// Create a node
struct Node {
int data;
struct Node* next;
};
// Insert at the beginning
void insertAtBeginning(struct Node** head_ref, int new_data) {
// Allocate memory to a node
struct Node* new_node = (struct Node*)malloc(sizeof(struct Node));
// insert the data
new_node->data = new_data;
new_node->next = (*head_ref);
// Move head to new node
(*head_ref) = new_node;
}
// Insert a node after a node
void insertAfter(struct Node* prev_node, int new_data) {
if (prev_node == NULL) {
printf("the given previous node cannot be NULL");
return;
}
struct Node* new_node = (struct Node*)malloc(sizeof(struct Node));
new_node->data = new_data;
new_node->next = prev_node->next;
prev_node->next = new_node;
}
// Insert the the end
void insertAtEnd(struct Node** head_ref, int new_data) {
struct Node* new_node = (struct Node*)malloc(sizeof(struct Node));
struct Node* last = *head_ref; /* used in step 5*/
new_node->data = new_data;
new_node->next = NULL;
if (*head_ref == NULL) {
*head_ref = new_node;
return;
}
while (last->next != NULL) last = last->next;
last->next = new_node;
return;
}
// Delete a node
void deleteNode(struct Node** head_ref, int key) {
struct Node *temp = *head_ref, *prev;
if (temp != NULL && temp->data == key) {
*head_ref = temp->next;
free(temp);
return;
}
// Find the key to be deleted
while (temp != NULL && temp->data != key) {
prev = temp;
temp = temp->next;
}
// If the key is not present
if (temp == NULL) return;
// Remove the node
prev->next = temp->next;
free(temp);
}
// Search a node
int searchNode(struct Node** head_ref, int key) {
struct Node* current = *head_ref;
while (current != NULL) {
if (current->data == key) return 1;
current = current->next;
}
return 0;
}
// Sort the linked list
void sortLinkedList(struct Node** head_ref) {
struct Node *current = *head_ref, *index = NULL;
int temp;
if (head_ref == NULL) {
return;
} else {
while (current != NULL) {
// index points to the node next to current
index = current->next;
while (index != NULL) {
if (current->data > index->data) {
temp = current->data;
current->data = index->data;
index->data = temp;
}
index = index->next;
}
current = current->next;
}
}
}
// Print the linked list
void printList(struct Node* node) {
while (node != NULL) {
printf(" %d ", node->data);
node = node->next;
}
}
// Driver program
int main() {
struct Node* head = NULL;
insertAtEnd(&head, 1);
insertAtBeginning(&head, 2);
insertAtBeginning(&head, 3);
insertAtEnd(&head, 4);
insertAfter(head->next, 5);
printf("Linked list: ");
printList(head);
printf("\nAfter deleting an element: ");
deleteNode(&head, 3);
printList(head);
int item_to_find = 3;
if (searchNode(&head, item_to_find)) {
printf("\n%d is found", item_to_find);
} else {
printf("\n%d is not found", item_to_find);
}
sortLinkedList(&head);
printf("\nSorted List: ");
printList(head);
}
C++
// Linked list operations in C++
#include <stdlib.h>
#include <iostream>
using namespace std;
// Create a node
struct Node {
int data;
struct Node* next;
};
void insertAtBeginning(struct Node** head_ref, int new_data) {
// Allocate memory to a node
struct Node* new_node = (struct Node*)malloc(sizeof(struct Node));
// insert the data
new_node->data = new_data;
new_node->next = (*head_ref);
// Move head to new node
(*head_ref) = new_node;
}
// Insert a node after a node
void insertAfter(struct Node* prev_node, int new_data) {
if (prev_node == NULL) {
cout << "the given previous node cannot be NULL";
return;
}
struct Node* new_node = (struct Node*)malloc(sizeof(struct Node));
new_node->data = new_data;
new_node->next = prev_node->next;
prev_node->next = new_node;
}
// Insert at the end
void insertAtEnd(struct Node** head_ref, int new_data) {
struct Node* new_node = (struct Node*)malloc(sizeof(struct Node));
struct Node* last = *head_ref; /* used in step 5*/
new_node->data = new_data;
new_node->next = NULL;
if (*head_ref == NULL) {
*head_ref = new_node;
return;
}
while (last->next != NULL) last = last->next;
last->next = new_node;
return;
}
// Delete a node
void deleteNode(struct Node** head_ref, int key) {
struct Node *temp = *head_ref, *prev;
if (temp != NULL && temp->data == key) {
*head_ref = temp->next;
free(temp);
return;
}
// Find the key to be deleted
while (temp != NULL && temp->data != key) {
prev = temp;
temp = temp->next;
}
// If the key is not present
if (temp == NULL) return;
// Remove the node
prev->next = temp->next;
free(temp);
}
// Search a node
bool searchNode(struct Node** head_ref, int key) {
struct Node* current = *head_ref;
while (current != NULL) {
if (current->data == key) return true;
current = current->next;
}
return false;
}
// Sort the linked list
void sortLinkedList(struct Node** head_ref) {
struct Node *current = *head_ref, *index = NULL;
int temp;
if (head_ref == NULL) {
return;
} else {
while (current != NULL) {
// index points to the node next to current
index = current->next;
while (index != NULL) {
if (current->data > index->data) {
temp = current->data;
current->data = index->data;
index->data = temp;
}
index = index->next;
}
current = current->next;
}
}
}
// Print the linked list
void printList(struct Node* node) {
while (node != NULL) {
cout << node->data << " ";
node = node->next;
}
}
// Driver program
int main() {
struct Node* head = NULL;
insertAtEnd(&head, 1);
insertAtBeginning(&head, 2);
insertAtBeginning(&head, 3);
insertAtEnd(&head, 4);
insertAfter(head->next, 5);
cout << "Linked list: ";
printList(head);
cout << "\nAfter deleting an element: ";
deleteNode(&head, 3);
printList(head);
int item_to_find = 3;
if (searchNode(&head, item_to_find)) {
cout << endl << item_to_find << " is found";
} else {
cout << endl << item_to_find << " is not found";
}
sortLinkedList(&head);
cout << "\nSorted List: ";
printList(head);
}