235. Lowest Common Ancestor of a Binary Search Tree
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题目来源【Leetcode】
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).”
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.
这道题是找两个结点最近的公共祖先,直接根据BST的性质进行分类即可:
/** * 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) { if(!root || p == root || q == root) return root; if(p->val < root->val && q->val < root->val) return lowestCommonAncestor(root->left, p, q); if(p->val > root->val && q->val > root->val) return lowestCommonAncestor(root->right, p, q); return root; }};
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