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LeetCode 235 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:
利用二叉树的性质,根节点的值小于左子树的值而小于右子树的值,因此可以根据这一性质,递归判断p,q结点在哪一棵子树中。
解法:
1 /* 2 public class TreeNode 3 { 4 int val; 5 TreeNode left; 6 TreeNode right; 7 8 TreeNode(int x) 9 { val = x; }10 }11 */12 13 public class Solution14 {15 public TreeNode lowestCommonAncestor(TreeNode root, TreeNode p, TreeNode q)16 {17 if(root == null || p == null || q == null)18 return null;19 20 if(p.val < root.val && q.val < root.val)21 return lowestCommonAncestor(root.left, p, q);22 else if(p.val > root.val && q.val > root.val)23 return lowestCommonAncestor(root.right, p, q);24 else25 return root;26 }27 }
LeetCode 235 Lowest Common Ancestor of a Binary Search Tree
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