• 51.Lowest Common Ancestor of a Binary Tree(二叉树的最小公共祖先)


    Level:

      Medium

    题目描述:

    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).”

    Given the following binary tree: root = [3,5,1,6,2,0,8,null,null,7,4]

    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.
    

    Note:

    • All of the nodes' values will be unique.
    • p and q are different and both values will exist in the binary tree.

    思路分析:

      在一个二叉树中寻找两个节点的最小公共祖先,如果根不为空时,不断从其左右子树搜索,如果两个节点都在左子树,就在左子树递归查找,如果两个节点都在右子树,就在右子树递归查找,如果一个节点在左子树,一个节点在右字数,那么当前节点就是最小公共祖先。

    代码:

    public class TreeNode{
        int val;
        TreeNode left;
        TreeNode right;
        TreeNode(int x){
            val=x;
        }
    }
    public class Solution{
        public TreeNode lowestCommonAncestor(TreeNode root,TreeNode p,TreeNode q){
            if(root==null||root==p||root==q)
                return root;
            //查看左子树有没有目标节点,没有就为null
            TreeNode left=lowestCommonAncestor( root.left, p,q); 
            //查看右子树有没有目标节点,没有就为null
            TreeNode right=lowestCommonAncestor( root.right, p,q);
            //都不为空说明左右子树都有目标节点,那么当前节点就是最小祖先
            if(left!=null&&right!=null)
                return root;
            //左子树为空就去右子树找,否则去左子树找
            return left!=null?left:right;
        }
    }
    
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  • 原文地址:https://www.cnblogs.com/yjxyy/p/11088833.html
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