HDU 1159 - Common Subsequence [最长公共子序列]

动规简单题，dp[i][j]表示的状态为字符串a.substr(0, i)和b.substr(0, j)的最长公共子序列。

#include <iostream>
#include <cstdio>
#include <cstring>
#include <string>
using namespace std;

int dp[1024][1024];

int main() {
    string a, b;
    while(cin >> a >> b){
        memset(dp, 0, sizeof(dp));
        for(int i = 1; i <= a.size(); ++i){
            for(int j = 0; j <= b.size(); ++j){
                if(a[i-1] == b[j-1]) dp[i][j] = dp[i-1][j-1] + 1;
                else dp[i][j] = max(dp[i-1][j], dp[i][j-1]);
            }
        }
        cout << dp[a.size()][b.size()] << endl;
    }
    return 0;
}