Link: https://leetcode.cn/problems/lowest-common-ancestor-of-a-binary-tree/
Question
difficulty: mid
adj diff: 3
Given a binary tree, find the lowest common ancestor (LCA) of two given nodes in the tree.
According to the definition of LCA on Wikipedia: “The lowest common ancestor is defined between two nodes p and q as the lowest node in T that has both p and q as descendants (where we allow a node to be a descendant of itself).”
Example 1:
Input: root = [3,5,1,6,2,0,8,null,null,7,4], p = 5, q = 1
Output: 3
Explanation: The LCA of nodes 5 and 1 is 3.
Example 2:
Input: root = [3,5,1,6,2,0,8,null,null,7,4], p = 5, q = 4
Output: 5
Explanation: The LCA of nodes 5 and 4 is 5, since a node can be a descendant of itself according to the LCA definition.
Example 3:
Input: root = [1,2], p = 1, q = 2
Output: 1
Constraints:
The number of nodes in the tree is in the range [2, 105].
-109 <= Node.val <= 109
All Node.val are unique.
p != q
p and q will exist in the tree.
Code
public TreeNode lowestCommonAncestor(TreeNode root, TreeNode p, TreeNode q) {
if (root == null)
return null;
if (root == p || root == q)
return root;
// depth-first search: find left and right
TreeNode leftFound = lowestCommonAncestor(root.left, p, q);
TreeNode rightFound = lowestCommonAncestor(root.right, p, q);
if (leftFound == null) {
return rightFound;
} else if (rightFound == null) {
return leftFound;
} else {
return root;
}
}