找二叉树中两个结点的最低公共祖先C++实现
作者:互联网
/*方法一:借助容器
step: 1)先设置所有结点的父节点,而head的父结点置成自己本身
2)再从no1往上串,将其祖先们放到一个容器里面
3)no2不断往上串,什么时候no2的祖先出现在no1的祖先里面就返回这个共同祖先
*/#include<unordered_map> #include<unordered_set> Node* lca(Node* head, Node* no1, Node* no2) { unordered_map<Node*, Node*> father; father.insert(make_pair(head, head));//根结点的父亲设成自己 process(head, father); Node* cur = no1; unordered_set<Node*> no1Ancestor; while (cur != father[cur]) {//自由根结点父亲等于自己,所以将head装进去就结束 no1Ancestor.insert(cur); cur = father[cur];//往上串 } cur = no2; while (cur != father[cur]) { if (no1Ancestor.find(cur) != no1Ancestor.end())//判断是否no2的祖先出现在no1的祖先里面 return *(no1Ancestor.find(cur)); cur = father[cur]; } } //设置父结点函数 void process(Node* head, unordered_map<Node*, Node*>& father) { if (head == NULL) return; father.insert(make_pair(head->left, head));//左右子结点的父亲都是头 father.insert(make_pair(head->right, head)); process(head->left, father); process(head->right, father); }
//方法二:递归实现
/*
step: 1)若head为空或head==no1或head==no2,则返回head
2)若左右子树均不为空,就返回头
3)若左子树为空就返回右子树
*/
Node* lowestAncestor(Node* head, Node* no1, Node* no2) {
if (head == NULL || head == no1 || head == no2)
return head;
Node* left = lowestAncestor(head->left, no1, no2);
Node* right = lowestAncestor(head->right, no1, no2);
if (left != NULL && right != NULL)
return head;
return left != NULL ? left : right;//左右子树并不都有返回值
}
标签:Node,结点,cur,father,head,C++,二叉树,no1,no2 来源: https://blog.csdn.net/m0_58086930/article/details/120347678