[LeetCode] Intersection of Two Linked Lists 求两个链表的交点

 

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.

 

我还以为以后在不能免费做OJ的题了呢，想不到OJ又放出了不需要买书就能做的题，业界良心啊，哈哈^_^。这道求两个链表的交点题要求执行时间为O(n)，则不能利用类似冒泡法原理去暴力查找相同点，事实证明如果链表很长的话，那样的方法效率很低。我也想到会不会是像之前删除重复元素的题一样需要用两个指针来遍历，可是想了好久也没想出来怎么弄。无奈上网搜大神们的解法，发觉其实解法很简单，因为如果两个链长度相同的话，那么对应的一个个比下去就能找到，所以只需要把长链表变短即可。具体算法为：分别遍历两个链表，得到分别对应的长度。然后求长度的差值，把较长的那个链表向后移动这个差值的个数，然后一一比较即可。代码如下： 

 

/**
 * Definition for singly-linked list.
 * struct ListNode {
 *     int val;
 *     ListNode *next;
 *     ListNode(int x) : val(x), next(NULL) {}
 * };
 */
class Solution {
public:
    ListNode *getIntersectionNode(ListNode *headA, ListNode *headB) {
        int la = 0, lb = 0;
        ListNode *hA = headA;
        ListNode *hB = headB;
        while (headA) {
            headA = headA->next;
            ++la;
        }
        while (headB) {
            headB = headB->next;
            ++lb;
        }
        int d = la - lb;
        if (d > 0) {
            for (int i = 0; i < d; ++i) hA = hA->next;
        } else {
            for (int i = 0; i < -d; ++i) hB = hB->next;
        }
        while (hA && hB && hA != hB) {
            hA = hA->next;
            hB = hB->next;
        }
        if (hA && hB) return hA;
        else return NULL;
    }
};

 

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