#1650
Medium Algorithms Lowest common ancestor of a binary tree iii
Hash Table Two Pointers Tree Binary Tree
83.0% acceptance
Mar 31, 2026
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61
Given two nodes of a binary tree p and q, return their lowest common ancestor (LCA).
Each node will have a reference to its parent node. The definition for Node is below:
class Node {
public int val;
public Node left;
public Node right;
public Node parent;
}
According to the definition of LCA on Wikipedia: "The lowest common ancestor of two nodes p and q in a tree T is the lowest node that has both p and q as descendants (where we allow a node to be a descendant of itself)."
Solution
C++
Time O(n)
Space O(1)
/*
// Definition for a Node.
class Node {
public:
int val;
Node* left;
Node* right;
Node* parent;
};
*/
class Solution {
public:
Node* lowestCommonAncestor(Node* p, Node * q) {
Node* a = p;
Node* b = q;
while (a != b) {
a = a->parent ? a->parent : q;
b = b->parent ? b->parent : p;
}
return a;
}
};