标签:LCS int Subsequence length Longest subsequence Example Common
Description
Given two strings, find the longest common subsequence (LCS).
Your code should return the length of LCS.
Clarification
What's the definition of Longest Common Subsequence?
- https://en.wikipedia.org/wiki/Longest_common_subsequence_problem
- http://baike.baidu.com/view/2020307.htm
Example
Example 1: Input: "ABCD" and "EDCA" Output: 1 Explanation: LCS is 'A' or 'D' or 'C' Example 2: Input: "ABCD" and "EACB" Output: 2 Explanation: LCS is "AC"
思路:Dp[i][j] 表示A序列前i个数,与B的前j个数的LCS长度。
对A的每个位置i,枚举B的每个位置j。
public class Solution { /** * @param A: A string * @param B: A string * @return: The length of longest common subsequence of A and B */ public int longestCommonSubsequence(String A, String B) { int n = A.length(); int m = B.length(); int f[][] = new int[n + 1][m + 1]; for(int i = 1; i <= n; i++){ for(int j = 1; j <= m; j++){ f[i][j] = Math.max(f[i - 1][j], f[i][j - 1]); if(A.charAt(i - 1) == B.charAt(j - 1)) f[i][j] = f[i - 1][j - 1] + 1; } } return f[n][m]; } }
标签:LCS,int,Subsequence,length,Longest,subsequence,Example,Common 来源: https://www.cnblogs.com/FLAGyuri/p/12078372.html
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