【Leetcode】235. Lowest Common Ancestor of a Binary Search Tree
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.
Tips:找到一棵二叉查找樹中兩個結點的最低公共祖先。
解決方案:二叉查找樹是一個已經排好序的二叉樹,所有左子樹結點都小於父結點,所有右子樹結點都大於父節點,所以,只需要比較當前結點與p、q結點val的大小進行比較。若p、q的值都小於當前節點,那麽最低公共祖先一定在當前節點的左子樹上,相反則在右子樹上。
方案一:使用循環:
public TreeNode lowestCommonAncestor(TreeNode root, TreeNode p, TreeNode q) { while (true) { if (root.val > p.val && root.val > q.val) root= root.left; else if (root.val < p.val && root.val < q.val) root = root.right; else return root; } }
方案二: 使用遞歸:
public TreeNode lowestCommonAncestor(TreeNode root, TreeNode p, TreeNode q) { TreeNode ans = root; if (root.val > p.val && root.val > q.val) { ans = lowestCommonAncestor(root.left, p, q); } else if (root.val < p.val && root.val < q.val) { ans = lowestCommonAncestor(root.right, p, q); } else { ans = root; } return ans; }
【Leetcode】235. Lowest Common Ancestor of a Binary Search Tree