题目 

 

 思路

解题的关键是知道自顶向低递归遍历，第一次遇到root在p和q的区间中时，则root就是p和q的最近公共祖先节点。 

递归法 

# Definition for a binary tree node.
# class TreeNode:
#     def __init__(self, x):
#         self.val = x
#         self.left = None
#         self.right = None

class Solution:
    def lowestCommonAncestor(self, root: 'TreeNode', p: 'TreeNode', q: 'TreeNode') -> 'TreeNode':
        if not root:
            return 
        if root.val>p.val and root.val>q.val:
            left = self.lowestCommonAncestor(root.left, p, q)
            if left:
                return left

        if root.val<p.val and root.val<q.val:
            right = self.lowestCommonAncestor(root.right, p, q)
            if right:
                return right
        return root

迭代法

# Definition for a binary tree node.
# class TreeNode:
#     def __init__(self, x):
#         self.val = x
#         self.left = None
#         self.right = None

class Solution:
    def lowestCommonAncestor(self, root: 'TreeNode', p: 'TreeNode', q: 'TreeNode') -> 'TreeNode':
        while root:
            if root.val>p.val and root.val>q.val:
                root = root.left
            elif root.val<p.val and root.val<q.val:
                root = root.right
            else:
                return root