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235. Lowest Common Ancestor of a Binary Search Tree

2017-04-28 04:49 274 查看
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.

public TreeNode lowestCommonAncestor(TreeNode root, TreeNode p, TreeNode q) {

if((root.val>p.val && root.val>q.val)){
return lowestCommonAncestor(root.left, p, q);
}
if((root.val<p.val && root.val<q.val)){
return lowestCommonAncestor(root.right, p, q);
}
return root;

}
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