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 <vector>
#include <string>

using namespace std;

int main()
{
    int q;
    cin >> q;
    for(int count = 0; count < q; count++){
        string str_x, str_y;
        cin >> str_x;
        cin >> str_y;
        int length_x, length_y;
        length_x = str_x.size();
        length_y = str_y.size();
        
        vector<vector<int>> common;
        common.resize(length_x+1);
        for(int x = 0; x <= length_x; x++){
            common[x].resize(length_y+1);
        }
        
        for(int x = 0; x <= length_x; x++){
            common[x][0] = 0;
        }
        for(int y = 0; y <= length_y; y++){
            common[0][y] = 0;
        }
        for(int x = 1; x <= length_x; x++){
            for(int y = 1; y <= length_y; y++){
                if(str_x[x] == str_y[y]){
                    common[x][y] = common[x-1][y-1] + 1;
                } else {
                    if(common[x][y-1] > common[x-1][y]){
                        common[x][y] = common[x][y-1];
                    } else {
                        common[x][y] = common[x-1][y];
                    }
                }
            }
        }
        cout << common[length_x][length_y] << endl;
    }
    return 0;
}

C++: #include "iostream"
#include "string.h"

using namespace std;

int L[1001][1001];

int lcs( char s1[], char s2[], int l1, int l2 ) {

	if (L[l1][l2] != 0)return L[l1][l2];

	if (l1 == 0 || l2 == 0) return 0;
	else if (s1[l1-1] == s2[l2-1]) L[l1][l2] = lcs(s1, s2, l1 - 1, l2 - 1) + 1;
	else {
		int lsc1 = lcs(s1, s2, l1 - 1, l2);
		int lsc2 = lcs(s1, s2, l1, l2 - 1);

		if (lsc1 > lsc2) L[l1][l2] = lsc1;
		else L[l1][l2] = lsc2;
	}

	return L[l1][l2];
}

int main() {

	int n;
	char s1[1000], s2[1000];

	cin >> n;

	int ans[150];

	for (int i = 0; i < n; i++) {
		cin >> s1;
		cin >> s2;

		int l1 = strlen(s1), l2 = strlen(s2);

		ans[i] = lcs(s1, s2, l1, l2);

		for (int j = 0; j <= l1; j++) {
			for (int k = 0; k <= l2; k++) {
				L[j][k] = 0;
			}
		}
	}

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

	return 0;
}

C++: #include <iostream>

using namespace std;

int lcs(string X, string Y) {
  int memo[1010][1010];
  int maxl = 0;

  // 初期化、境界条件を考慮して場合分け
  for (int i = 0; i < X.size(); i++) {
    if (X[i] == Y[0]) {
      memo[i][0] = 1;
    } else {
      memo[i][0] = 0;
    }
  }

  for (int j = 0; j < Y.size(); j++) {
    if (X[0] == Y[j]) {
      memo[0][j] = 1;
    } else {
      memo[0][j] = 0;
    }
  }

  for (int i = 0; i < X.size(); i++) {
    for (int j = 0; j < Y.size(); j++) {
      if (X[i] == Y[j]) {
        memo[i][j] = memo[i-1][j-1] + 1;
      } else {
        memo[i][j] = max(memo[i-1][j], memo[i][j-1]);
      }
      maxl = max(maxl, memo[i][j]);
      //cout << i << "," << j << "," << X[i] << "," << Y[j] << "," << maxl << endl;
    }
  }
  return maxl;
}

int main() {
  int q; cin >> q;
  for (int i = 0; i < q; i++) {
    string X, Y; cin >> X >> Y;
    cout << endl;
    cout << lcs(X, Y) << endl;
  }
}

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

// ???????????§???????????§?????§??????
int DP[1024][1024] = {};

int main(){
    int N;
    cin >> N;
    for(int c=0; c<N; ++c){
        string X,Y;
        cin >> X >> Y;
        int xlen = (int)X.size();
        int ylen = (int)Y.size();

        for(int i=0;i<=xlen;++i){
          DP[i][0] = 0;
        }
        for(int i=0;i<=ylen;++i){
          DP[0][i] = 0;
        }

        for(int i=1;i<=xlen;++i){
            for(int j=1;j<=ylen;++j){
                if(X[i] == Y[j]){ // 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]);
                }
            }
        }
        cout << DP[xlen][ylen] << endl;
    }
}

C++: #include<bits/stdc++.h>
using namespace std;
int main(){
  int n;
  cin >> n;
  for(int I=0;I<n;I++){
    string a=" ";
    string b=" ";
    string c;
    cin >> c;
    a+=c;
    cin >> c;
    b+=c;
  
    int dp[a.size()][b.size()];
    for(int i=0;i<a.size();i++){
      for(int j=0;j<b.size();j++){
	if(i==0||j==0)dp[i][j]=0;
	else if(a[i]==b[j])dp[i][j]=dp[i-1][j-1]+1;
	else dp[i][j]=max(dp[i][j-1],dp[i-1][j]);
      }
    }
    cout << dp[a.size()-1][b.size()-1] << endl;
  }
  return 0;
}

C++: #include <iostream>
#include <vector>
#include <string>
#include <stack>
#include <queue>
#include <deque>
#include <set>
#include <map>
#include <algorithm>	// require sort next_permutation count __gcd reverse etc.
#include <cstdlib>	// require abs exit atof atoi 
#include <cstdio>		// require scanf printf
#include <functional>
#include <numeric>	// require accumulate
#include <cmath>		// require fabs
#include <climits>
#include <limits>
#include <cfloat>
#include <iomanip>	// require setw
#include <sstream>	// require stringstream 
#include <cstring>	// require memset
#include <cctype>		// require tolower, toupper
#include <fstream>	// require freopen
#include <ctime>		// require srand
#define rep(i,n) for(int i=0;i<(n);i++)
#define ALL(A) A.begin(), A.end()
#define DEBUG 0

using namespace std;

typedef long long ll;
typedef pair<int, int> P;

int dp[1005][1005];

int main()
{
	ios_base::sync_with_stdio(0);
	int N; cin >> N;
	while (N-- ){
		memset (dp, 0, sizeof (dp ) );
		string s = "", t = "";
		cin >> s >> t;
		int n = s.length();
		int m = t.length();
		
		dp[0][0] = (s[0] == t[0] );

		for (int i = 1; i < n; i++ )
			if (s[i] == t[0] )
				dp[i][0] = 1;
			else
				dp[i][0] = max (dp[i][0], dp[i-1][0] );

		for (int j = 1; j < m; j++ )
			if (s[0] == t[j] )
				dp[0][j] = 1;
			else
				dp[0][j] = max (dp[0][j], dp[0][j-1] );

		for (int i = 1; i < n; i++ ){
			for (int j = 1; j < m; j++ ){
				dp[i][j] = max (dp[i][j], dp[i-1][j-1] + (s[i] == t[j] ) );
				dp[i][j] = max (dp[i][j], dp[i-1][j] );
				dp[i][j] = max (dp[i][j], dp[i][j-1] );
			} // end for
		} // end for
#if (DEBUG )
		rep (i, n ){
			rep (j, m ){
				printf ("%3d", dp[i][j] );
			} // end rep
			printf ("\n" );
		} // end rep
#endif		
		int res = 0;
		rep (i, n ) rep (j, m ) res = max (res, dp[i][j] ); 		
		cout << res << endl;
	} // end loop
		
	return 0;
}