• LeetCode Lowest Common Ancestor of a Binary Serach Tree


    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.

    这个题目的意思就是:让你找出两个结点最近的祖先,也就是和他们血缘关系最近的祖先

    我的解法:深度优先搜索,再以这个结点,进行搜索,如果以这个结点进行搜索时,发现了我们要求的两个结点,则该结点就是这两个结点最近的 ,不过我的算法的时间复杂度很高。。。。

    /**
     * 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:
        void dfs(TreeNode *root, TreeNode *p, TreeNode *q,int &i)
        {
            if (root == NULL)return;
            if (root == p || root == q)
                ++i;
            dfs(root->left, p, q,i);
            dfs(root->right, p, q,i);
        }
        TreeNode* lowestCommonAncestor(TreeNode* root, TreeNode* p, TreeNode* q) {
            map<TreeNode*,int> visited;
            stack<TreeNode*> sttn;
            TreeNode * curNode;
            sttn.push(root);
            while (!sttn.empty())
            {
                curNode = sttn.top();
                while(curNode->left != NULL&&visited[curNode->left] != 1)
                {
                    curNode = curNode->left;
                    sttn.push(curNode);
                }
                if (curNode->right != NULL&&visited[curNode->right] != 1)
                {
                    curNode = curNode->right;
                    sttn.push(curNode);
                }
                else
                {
                    int cnt = 0;
                    dfs(curNode, p, q,cnt);
                    if (cnt == 2)
                        return curNode;
                    visited[curNode] = 1;
                    sttn.pop();
                }
            }
        }
    };
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  • 原文地址:https://www.cnblogs.com/csudanli/p/5327606.html
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