【leetcode】Lowest Common Ancestor of a Binary Search Tree
2015-07-19 20:31
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Lowest Common Ancestor of a Binary Search 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.
思路: 由于是二叉搜索树,因此左子树的值一定小于右子树。根据这个性质就可写出下面的算法。对比值,然后用递归的方法做。
/** * 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==NULL || p==NULL || q==NULL) return NULL; if(root->val==p->val || root->val==q->val) return root; if(root->val < p->val && root->val < q->val) lowestCommonAncestor(root->right, p, q); else if(root->val > p->val && root->val > q->val) lowestCommonAncestor(root->left, p, q); else return root; } };
引申: 如果不是二叉搜索树,只是一个简单的树的话,可能需要记录下p, q的位置,然后再找他们的LCA。
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