uva10405-最长公共子序列

题目链接 http://acm.hust.edu.cn/vjudge/problem/19201

 

解题思路

LCS

 

代码

#include<stdio.h>
#include<string.h>
#define MAX_LEN 1005
char str[MAX_LEN], re[MAX_LEN];
int dp[MAX_LEN];
int main()
{
    str[0] = re[0] = '0'; 
    while(gets(str+1) && gets(re+1)) {
        memset(dp, 0, sizeof(dp));
        int n = strlen(str) - 1;
        int m = strlen(re) - 1;
        int x;
        for(int i=1; i<=n; i++) {
            x = dp[0];
            for(int j=1; j<=m; j++) {
                if(str[i] == re[j]) { int y = dp[j]; dp[j] = x + 1; x = y; }
                else { x = dp[j]; dp[j] = dp[j]>dp[j-1]?dp[j]:dp[j-1]; }
            }
        }
        printf("%d\n", dp[m]);
    }
    return 0;
}