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

    C++
     
    //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;
        }
    };
     
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  • 原文地址:https://www.cnblogs.com/wikiwen/p/10225198.html
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