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.
/**
* 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) {
if (!headA || !headB) {
return NULL;
}
auto first = headA;
auto second = headB;
int ca = 1;
int cb = 1;
//判断是否有交叉
while (first->next) {
ca++;
first = first->next;
}
while (second->next) {
cb++;
second = second->next;
}
if (first != second) {
return NULL;
}
//求交叉点
if (ca > cb) {
first = headA;
second = headB;
} else {
first = headB;
second = headA;
}
for (int i = 0; i < abs(ca-cb); i++) {
first = first->next;
}
while (first != second) {
first = first->next;
second = second->next;
}
return first;
}
};
本文介绍了一种寻找两个单链表开始相交节点的方法。通过一次遍历确定交点是否存在,并找到具体的交点位置,算法力争达到O(n)的时间复杂度和O(1)的空间复杂度。
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