235. Lowest Common Ancestor of a Binary Search Tree

Posted 积少成多

tags:

篇首语:本文由小常识网(cha138.com)小编为大家整理,主要介绍了235. Lowest Common Ancestor of a Binary Search Tree相关的知识,希望对你有一定的参考价值。

Given a binary search tree (BST), find the lowest common ancestor (LCA) of two given nodes in the BST.

According to the definition of LCA on Wikipedia: “The lowest common ancestor is defined between two nodes v and w as the lowest node in T that has both v and w as descendants (where we allow a node to be a descendant of itself).”

        _______6______
       /                  ___2__          ___8__
   /      \        /         0      _4       7       9
         /           3   5

For example, the lowest common ancestor (LCA) of nodes 2 and 8 is 6. Another example is LCA of nodes 2 and 4 is 2, since a node can be a descendant of itself according to the LCA definition.

==================

题目:在平衡二叉树中寻找任意两个节点的公共祖先

思路:

利用while循环,就可以循环遍历BST树,

判断的条件如下:

如果p,q都小于root,那么在root的左子树中查找

如果p,q都大于root,那么在root的右子树中查找

如果p,q在root的两边,那么root就是要求得公共节点

如果q,q中有一个与root指针相同,那么返回root即可。

=======

code:

/**
 * Definition for a binary tree node.
 * struct TreeNode {
 *     int val;
 *     TreeNode *left;
 *     TreeNode *right;
 *     TreeNode(int x) : val(x), left(NULL), right(NULL) {}
 * };
 */
class Solution {
public:
    TreeNode* lowestCommonAncestor(TreeNode* root, TreeNode* p, TreeNode* q) {
        TreeNode *tmp =root;
        while(tmp!=nullptr){
            if(p->val<tmp->val && q->val<tmp->val){
                tmp = tmp->left;
            }else if(p->val>tmp->val && q->val>tmp->val){
                tmp = tmp->right;
            }else if((p->val>tmp->val && q->val<tmp->val) || (p->val<tmp->val && q->val>tmp->val)){
                return tmp;
            }else if(p->val==tmp->val){
                return p;
            }else if(q->val==tmp->val){
                return q;
            }
        }//while
     return nullptr;   
    }//end-function
};

 

以上是关于235. Lowest Common Ancestor of a Binary Search Tree的主要内容,如果未能解决你的问题,请参考以下文章

LC.235.Lowest Common Ancestor of a Binary Search Tree

LeetCode 236. Lowest Common Ancestor of a Binary Tree; 235. Lowest Common Ancestor of a Binary Searc

#Leetcode# 235. Lowest Common Ancestor of a Binary Search Tree

235. Lowest Common Ancestor of a Binary Search Tree

235. Lowest Common Ancestor of a Binary Search Tree

235. Lowest Common Ancestor of a Binary Search Tree