https://leetcode.com/problems/lowest-common-ancestor-of-a-binary-search-tree/description/
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.
- 图论题,Tree + 递归。
- 因为是BST,所以可以类似二分查找。如果两个node都 < root,则从左子树找;如果都 > root,则从右子树找;如果一个 <= ,一个 >= ,则正好在两侧或者就是这个root,说明root就是最小公共祖先。注意,节点可以是自己的最小公共祖先。
- Lowest Common Ancestor in a Binary Search Tree. | Algorithms
- https://algorithms.tutorialhorizon.com/lowest-common-ancestor-in-a-binary-search-tree/
1 /** 2 * Definition for a binary tree node. 3 * struct TreeNode { 4 * int val; 5 * TreeNode *left; 6 * TreeNode *right; 7 * TreeNode(int x) : val(x), left(NULL), right(NULL) {} 8 * }; 9 */ 10 class Solution { 11 public: 12 TreeNode* lowestCommonAncestor(TreeNode* root, TreeNode* p, TreeNode* q) { 13 if (root == nullptr) 14 return root; 15 16 if (root->val > p->val && root->val > q->val) 17 return lowestCommonAncestor(root->left, p, q); 18 else if (root->val < p->val && root->val < q->val) 19 return lowestCommonAncestor(root->right, p, q); 20 else 21 return root; 22 } 23 };
来源:https://www.cnblogs.com/pegasus923/p/8449213.html