235. Lowest Common Ancestor of a Binary Search Tree
2016-03-09 09:19
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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.
解题思路:
因为是二叉搜索树,有左子树的所有值都小于父节点的值,右子树的所有值都大于父节点,因此递归判断两个节点在左子树还是右子树,若在两边,则父节点就是其最小公共祖先,否则递归搜索同在一遍的子树。
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.
解题思路:
因为是二叉搜索树,有左子树的所有值都小于父节点的值,右子树的所有值都大于父节点,因此递归判断两个节点在左子树还是右子树,若在两边,则父节点就是其最小公共祖先,否则递归搜索同在一遍的子树。
#include<windows.h> using namespace std; struct TreeNode { int val; TreeNode *left; TreeNode *right; TreeNode(int x) : val(x), left(NULL), right(NULL) {} }; class Solution { public: // 40ms-42ms TreeNode* lowestCommonAncestor(TreeNode* root, TreeNode* p, TreeNode* q) { if(root==NULL)return root; if(p==NULL)return q; if(q==NULL)return p; int val=root->val; if((val-p->val)*(val-q->val)<=0)return root; if(val>p->val)return lowestCommonAncestor(root->left,p,q); return lowestCommonAncestor(root->right,p,q); } }; |
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