Intersection of Two Linked Lists

##题目

####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:
Special thanks to @stellari for adding this problem and creating all test cases.

##解题思路
这道题是找到两个链表的共同的第一个节点。方法比较简单,首先对两个链表分别遍历一次,分别得到两个链表的长度为m,n,且m<n.然后定义两个指针p,q.p指向长度为m的链表,q指向长度为n的链表,然后首先让q先向前遍历n-m个位置,然后pq同时一起前进,当q==p时,此时的节点即为两个链表第一个公共节点。

##算法代码
代码采用JAVA实现:

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/**
* Definition for singly-linked list.
* public class ListNode {
* int val;
* ListNode next;
* ListNode(int x) {
* val = x;
* next = null;
* }
* }
*/

public class Solution {
public ListNode getIntersectionNode(ListNode headA, ListNode headB) {
if(headA==null || headB==null)
return null;
//获取两个链表的长度
ListNode p=headA;
int headAlen=0;
int headBlen=0;
while(p!=null)
{
headAlen++;
p=p.next;
}
p=headB;
while(p!=null)
{
headBlen++;
p=p.next;
}
ListNode longP;
ListNode shortP;
if(headAlen<headBlen)
{
longP=headB;
shortP=headA;
}else
{
longP=headA;
shortP=headB;
}

//longP向前历|headAlen-headBlen|
int m=Math.abs(headAlen-headBlen);
while(m!=0)
{
longP=longP.next;
m--;
}
while(longP!=shortP)
{
longP=longP.next;
shortP=shortP.next;
}
return longP;
}
}

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