HDU 1159 Common Subsequence

Common Subsequence

Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 65536/32768 K (Java/Others)
Total Submission(s): 40922    Accepted Submission(s): 18891

Problem Description

A subsequence of a given sequence is the given sequence with some elements (possible none) left out. Given a sequence X = <x1, x2, ..., xm> another sequence Z = <z1, z2, ..., zk> is a subsequence of X if there exists a strictly increasing sequence <i1, i2, ..., ik> of indices of X such that for all j = 1,2,...,k, xij = zj. For example, Z = <a, b, f, c> is a subsequence of X = <a, b, c, f, b, c> with index sequence <1, 2, 4, 6>. Given two sequences X and Y the problem is to find the length of the maximum-length common subsequence of X and Y.
The program input is from a text file. Each data set in the file contains two strings representing the given sequences. The sequences are separated by any number of white spaces. The input data are correct. For each set of data the program prints on the standard output the length of the maximum-length common subsequence from the beginning of a separate line.

 

Sample Input

abcfbc abfcabprogramming contest abcd mnp

 

Sample Output

420

 

题目大意：求最长的公共子序列。比如第一个样例的最长公共子序列为abfc，第二个样例的最长公共子序列为on，第三个没有最长公共子序列。

一个lcs问题，也挺水的

#include<iostream>#include<cstring>#include<cstdio>using namespace std;int dp[666][666];int main(){char str[666];char str2[666];while(~scanf("%s %s",str,str2)){memset(dp,0,sizeof(dp));int len=strlen(str);int len2=strlen(str2);for(int i=1;i<=len;i++){for(int j=1;j<=len2;j++){if(str[i-1]==str2[j-1]) dp[i][j]=dp[i-1][j-1]+1;else dp[i][j]=max(dp[i][j-1],dp[i-1][j]);}}cout<<dp[len][len2]<<endl;}}