Go: package main

import "fmt"

func initialize_grid(width int,height int)[][]int{
	var grid [][]int
	for i:=0;i<height+1;i++{
		var grid_row  []int
		for j:=0;j<width+1;j++{
			grid_row = append(grid_row,0)
		}
		grid = append(grid,grid_row[:])
	}
	return grid
}

func ma(x int,y int)int{
	if x >= y{
		return x
	}else{
		return y
	}
}

func main()  {
	//Take input
	var num int
	var st1,st2 string
	var string_pairs [][]string
	fmt.Scan(&num)
	for i:=0;i<num;i++{
		var string_pair []string
		fmt.Scan(&st1)
		fmt.Scan(&st2)
		string_pair = append(string_pair,st1,st2)
		string_pairs = append(string_pairs,string_pair)
	}
	//DP
	//initialize grid
	for i:=0;i<num;i++{
		string_1 := string_pairs[i][0]
		string_2 := string_pairs[i][1]

		dp := initialize_grid(len(string_2),len(string_1))

		for j:=1;j<len(string_1)+1;j++{
			for k:=1;k<len(string_2)+1;k++{
				if string_1[j-1] == string_2[k-1]{
					dp[j][k] = dp[j-1][k-1] + 1
				}else{
					dp[j][k] = ma(dp[j-1][k],dp[j][k-1])
				}
			}
		}
		fmt.Println(dp[len(string_1)][len(string_2)])
	}
}

C++: #include<iostream>
#include<algorithm>
#include<vector>
using namespace std;
int dp[1001][1001];
int lcs(string x,string y) {
    int m = x.size(), n = y.size(),la = 0;
    x = " " + x;
    y = " " + y;
    for (int i = 0; i <= m;i++) dp[i][0] = 0;
    for (int i = 1; i <= n;i++) dp[0][i] = 0;
    for (int i = 1;i <= m;i++) {
        for (int j = 1;j <= n;j++) {
            if (x[i] == y[j]) {
                dp[i][j] = dp[i - 1][j - 1] + 1;
            }
            else
                dp[i][j] = max(dp[i-1][j],dp[i][j -1]);
            la = max(la, dp[i][j]);
        }
    }
    return la;
}
int main() {
    int q;string x, y;
    cin >> q;
    for (int i = 0; i < q;i++) {
        cin >> x >> y;
        cout << lcs(x, y) << endl;
    }

}

C++: #include <iostream>
#include <cstring>
using namespace std;

int main() {
  std::ios::sync_with_stdio(false);
  cout.tie(0);
  cin.tie(0);
  int N;
  cin>>N;
  string S1,S2;
  for (int k=0; k<N; k++) {
    cin>>S1>>S2;
    int m=S1.length();
    int n=S2.length();
    S1=' '+S1;
    S2=' '+S2;
    int lcs[1001][1001];
    for (int i=1; i<=m; i++) {
      lcs[i][0]=0;
    }
    for (int j=1; j<=n; j++) {
      lcs[0][j]=0;
    }
    int maxl=0;
    for (int i=1; i<=m; i++) {
      for (int j=1; j<=n; j++) {
        if (S1[i]==S2[j]) {
          lcs[i][j]=lcs[i-1][j-1]+1;
        }
        else {
          lcs[i][j]=max(lcs[i-1][j],lcs[i][j-1]);
        }
        maxl=max(maxl,lcs[i][j]);
      }
    }
    cout<<maxl<<endl;
  }
  return 0;
}

C++: #include <bits/stdc++.h>
using namespace std;

int N;


void solve(string s,string t){
  vector<vector<int >> dp(1001, vector<int>(1001));
  int S=s.size();
  int T=t.size();
  for(int i=0;i<S;i++){
    for(int j=0;j<T;j++){
      if(s[i]==t[j]) dp[i+1][j+1]=dp[i][j]+1;
      else dp[i+1][j+1]=max(dp[i][j+1],dp[i+1][j]);
    }
  }
  cout<<dp[S][T]<<endl;
}

int main() {

cin>>N;

for(int i=0;i<N;i++){
  string s,t;
  cin>>s>>t;
  solve(s,t);
}

}

C++: #include <iostream>
#include <vector>
#include <string>
#include <algorithm>

using namespace std;

// typedef
typedef long long ll;

// container util
#define ALL(a)  (a).begin(),(a).end()
#define RALL(a) (a).rbegin(), (a).rend()
#define PB push_back
#define MP make_pair
#define SZ(a) int((a).size())
#define EACH(i,c) for(auto i=(c).begin(); i!=(c).end(); ++i)
#define EXIST(s,e) ((s).find(e)!=(s).end())
#define SORT(c) sort((c).begin(),(c).end())

// repetition
#define FOR(i,m,n) for(ll i = ((ll) m); i < ((ll) n); ++i)
#define REP(i,n) FOR(i,0,n)

int solve(const string& X, const string& Y) {
    int xlen = X.length()+1, ylen = Y.length()+1;
    int* dp = new int[xlen*ylen];
    for(int i = 0; i < xlen; i++) {
        for(int j = 0; j < ylen; j++) {
            if(i == 0 || j == 0) {
                dp[i*ylen+j] = 0;
                continue;
            }
            dp[i*ylen+j] = max(
                dp[(i-1)*ylen+(j-1)] + (X[i-1] == Y[j-1]? 1 : 0),
                max(dp[(i-1)*ylen+j], dp[i*ylen+(j-1)])
            );
        }
    }
    int ret = dp[xlen*ylen - 1];
    delete[] dp;
    return ret;
}

int main() {
    int q; cin >> q;
    REP(i, q) {
        string X, Y;
        cin >> X >> Y;
        cout << solve(X, Y) << endl;
    }
    return 0;
}

/*
Longest Common Subsequence
http://judge.u-aizu.ac.jp/onlinejudge/description.jsp?id=ALDS1_10_C&lang=jp

dp[i][j] = X1...XiとY1...Yjの最長共通部分列
dp[i][j] = 
dp[i-1][j-1] + 1            if Xi == Yj
max(dp[i][j-1], dp[i-1][j], dp[i-1][j-1]) otherwise
*/

C++: #include<algorithm>
#include<iostream>
#include<cstring>
#define rep(i,a) for(int i=0;i<(a);++i)
#define repd(i,a) for(int i=(a);i>=0;--i)
#define clr(a,v) memset((a),(v),sizeof(a))

const int MAX_X = 1000, MAX_Y = 1000;

int q;
std::string X, Y;
int dp[MAX_X+1][MAX_Y+1];

int main()
{
    std::cin >> q;
    while( q-- )
    {
        std::cin >> X >> Y;

        clr( dp, 0 );

        repd( i, X.size()-1 ) repd( j, Y.size()-1 )
        {
            if( X[i] == Y[j] )
                dp[i][j] = dp[i+1][j+1]+1;
            else
                dp[i][j] = std::max( dp[i+1][j], dp[i][j+1] );
        }

        printf( "%d\n", dp[0][0] );
    }

    return 0;
}

C++: #include <cstdio>
#include <iostream>
#include <string>
#include <algorithm>
using namespace std;

#define MAX 1000

int lcs(string X, string Y) {
    int c[MAX+1][MAX+1];
    int m = X.size();
    int n = Y.size();
    int i, j;
    int maxlen = 0;
    X = " " + X;
    Y = " " + Y;

    for (i = 1 ; i <= m ; i++ ) c[i][0] = 0;
    for (j = 1 ; j <= n ; j++ ) c[0][j] = 0;

    for(i = 1 ; i <= m ; i++ ) {
        for(j = 1 ; j <= n ; j++ ) {
            if (X[i] == Y[j]) {
                c[i][j] = c[i-1][j-1] + 1;
            }else {
                c[i][j] = max(c[i][j-1], c[i-1][j]);
            }
            maxlen = max(maxlen, c[i][j]);
        }
    }
    return maxlen;
}

int main (void) {
    int N, i;
    string x, y;

    cin >> N;

    for(i = 0 ; i < N ; i++) {
        cin >> x;
        cin >> y;
        printf("%d\n", lcs(x,y));
    }

    return 0;
}

C++: // LCSの練習

#include"bits/stdc++.h"
#include <iostream>
#include <vector>


using namespace std;


int main(){
	
	int q;

	cin >> q ;

	vector<int> ans;

	for(int i= 0; i < q; i++){
		
		string x,y;

		cin >> x;
		cin >> y;

		int len_x = (int)x.length();
		int len_y = (int)y.length();

		// int dp[len_x+1][len_y+1];

		vector<vector<int> > dp(len_x + 1, vector<int>(len_y + 1));

		for(int i = 1; i <= len_x; i++){
			for(int j = 1; j <= len_y; j++){
				if(x[i-1] == y[j-1]){
					dp[i][j] = dp[i-1][j-1]+1;
				}
				else{
					dp[i][j] = max(dp[i-1][j], dp[i][j-1]); 
				}
			}
		}

		ans.push_back(dp[len_x][len_y]);
		// cout << dp[len_x][len_y] << endl;

	}

	for(int i = 0; i < q; i++){
		cout << ans[i] << endl;
	}

	return 0;
}

C++: #include <iostream>

int lcs(std::string x, std::string y)
{
  int m = x.length();
  int n = y.length();
  int cs[m + 1][n + 1];

  for (int i = 1; i < m + 1; ++i)
    cs[i][0] = 0;
  for (int j = 1; j < n + 1; ++j)
    cs[0][j] = 0;

  for (int i = 1; i < m + 1; ++i)
  {
    for (int j = 1; j < n + 1; ++j)
    {
      if (x[i - 1] == y[j - 1])
        cs[i][j] = cs[i - 1][j - 1] + 1;
      else
        cs[i][j] = std::max(cs[i - 1][j], cs[i][j - 1]);
    }
  }

  return cs[m][n];
}

int main()
{
  int q;
  std::cin >> q;

  std::string x, y;
  for (int i = 0; i < q; ++i)
  {
    std::cin >> x >> y;
    std::cout << lcs(x, y) << std::endl;
  }

  return 0;
}