【LeetCode & 剑指offer刷题】链表题5:52 两个链表的第一个公共结点(Intersection of Two Linked Lists)
【LeetCode & 剑指offer 刷题笔记】目录(持续更新中...)
52 两个链表的第一个公共结点
题目描述
输入两个链表,找出它们的第一个公共结点。
/*
struct ListNode {
int val;
struct ListNode *next;
ListNode(int x) :
val(x), next(NULL) {
}
};*/
#include <cmath>
class Solution
{
public:
ListNode* FindFirstCommonNode( ListNode* pHead1, ListNode* pHead2)
{
//求两链表的长度
int len1 = findListLength(pHead1);
int len2 = findListLength(pHead2);
ListNode* plong = pHead1, *pshort = pHead2;
if(len1 < len2)
{
pshort = pHead1;
plong = pHead2;
}
for(int i = 1; i <= abs(len1-len2); i++) plong = plong->next; //较长的链表多走几步
//同时步进,直到遇到相同结点或者均遇到尾结点
while(plong != pshort)
{
plong = plong->next;
pshort = pshort->next;
}
return plong;
}
private:
int findListLength(ListNode* p)
{
int n = 0;
while(p != nullptr)
{
p = p->next;
n++;
}
return n;
}
};
Intersection of Two Linked Lists
Write a program to find the node at which the intersection of two singly linked lists begins.
For example, the following two linked lists:
A: a1 → a2
↘
c1 → c2 → c3
↗
B: b1 → b2 → b3
begin to intersect at node c1.
Notes:
-
If the two linked lists have no intersection at all, return null.
-
The linked lists must retain their original structure after the function returns.
-
You may assume there are no cycles anywhere in the entire linked structure.
-
Your code should preferably run in O(n) time and use only O(1) memory.
Credits:
//问题:求两链表的交汇点
/**
* Definition for singly-linked list.
* struct ListNode {
* int val;
* ListNode *next;
* ListNode(int x) : val(x), next(NULL) {}
* };
*/
/*
方法:双指针法
(1) 如果有交汇点,p1扫描A,p2扫描B,扫描到结尾后,p1重定向到headB,p2重定向到headA,之后一定会在交汇点处相遇
因为交汇点之后都是路径相同的,交汇点之前的路径差可以由互换的两次扫描中抵消
(2) 如果没有交汇点,p1最后会到b末尾,p2会到a末尾,p1=p2=null,退出程序
O(m+n),O(1)
*/
class Solution
{
public:
ListNode *getIntersectionNode(ListNode *headA, ListNode *headB)
{
ListNode *p1 = headA;
ListNode *p2 = headB;
if(p1 == NULL || p2 == NULL) return NULL;
while(p1 && p2 && p1!=p2) //只要不为空,进行扫描(注意,加上p1!=p2的判断,可能两链表长度为1,且相交,不加的话会返回null)
{
p1 = p1->next;
p2 = p2->next;
if(p1 == p2) return p1; //p1,p2同时为nullptr或者指向交汇点
if(p1 == NULL) p1 = headB; //重定向到另一个链表首结点
if(p2 == NULL) p2 = headA;
}
return p1;
}
};