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<bits/stdc++.h>
using namespace std;

int lcs(string str1, string str2){
  int C[1001][1001];
  int maxl = 0;

  str1 = ' ' + str1;
  str2 = ' ' + str2;

  for(int i = 1 ; i <= str1.size() ; i++) C[i][0] = 0;
  for(int j = 1 ; j <= str2.size() ; j++) C[0][j] = 0;

  for(int i = 1 ; i <= str1.size()-1 ; i++){
    for(int j = 1 ; j <= str2.size()-1 ; j++){
     
      if(str1[i] == str2[j]) C[i][j] = C[i - 1][j - 1] + 1;
      else if(C[i - 1][j] >= C[i][j -1]) C[i][j] = C[i - 1][j];
      else C[i][j] = C[i][j - 1];

      if(C[i][j] >= maxl) maxl = C[i][j];

    }
  }

  return maxl;
}

int main(){
  string str1, str2;
  int n;

  cin >> n;

  for(int i = 0 ; i < n ; i++){
    cin >> str1 >> str2;
    cout << lcs(str1, str2) << endl;
  }

  return 0;
}

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

using namespace std;

static const int N = 1000;

int lcs(string X, string Y) {
  int c[N][N];
  int m = X.size();
  int n = Y.size();

  for (int i = 0; i < m; i++) {
    for (int j = 0; j < n; j++) {
      if (X[i] == Y[j]) 
        if (i == 0 || j == 0) 
          c[i][j] = 1;
        else 
          c[i][j] = c[i - 1][j - 1] + 1;
      else
        c[i][j] = max(c[i][j - 1], c[i - 1][j]);
    }
  }
  return c[m - 1][n - 1];
}

int main() {
  string s1, s2;
  int n;
  cin >> n;
  for (int i = 0; i < n; i++) {
    cin >> s1 >> s2;
    cout << lcs(s1, s2) << endl;
  }
  return 0;
}

C++: /*
    Problem 38
    https://onlinejudge.u-aizu.ac.jp/problems/ALDS1_10_C
*/
#include <bits/stdc++.h>
using namespace std;
/* typedef */
typedef long long ll;
typedef pair<int, int> pii;
/* constant */
const int INF = 1 << 30;
const ll LINF = 1LL << 50;
const int NIL = -1;
const int MAX = 1005;
const int mod = 1000000007;
const double pi = 3.141592653589;
/* global variables */
vector<vector<int>> dp(MAX, vector<int>(MAX));
/* function */
void calc(string s, string t) {
    int S = s.size(), T = t.size();
    // init
    for (int i = 0; i < S; i++) for (int j = 0; j < T; j++) dp[i][j] = 0;
    for (int i = 0; i < S; i++) {
        for (int j = 0; j < T; j++) {
            dp[i+1][j+1] = max(dp[i+1][j], dp[i][j+1]);
            if (s[i] == t[j]) dp[i+1][j+1] = dp[i][j] + 1;
        }
    }
    cout << dp[S][T] << '\n';
}
/* main */
int main(){
    int n;
    cin >> n;
    string s, t;
    for (int i = 0; i < n; i++) {
        cin >> s >> t;
        calc(s, t);
    }
}

C++: #include <iostream>
#include <vector>
#include <string>
#include <cmath>
#include <set>
#include <algorithm>
#include <array>
#include <complex>
#include <utility>
#include <map>
#include <inttypes.h>

int LCS(std::string s,std::string t){
    int n,m,c[n+1][m+1];
    n=s.size();
    m=t.size();
    int maxlen=0;
    for(int i=0;i<n;i++){
        c[i][0]=0; 
    }
    for(int i=0;i<m;i++){
        c[0][i]=0;
    }
    for(int i=0;i<n;i++){
        for(int j=0;j<m;j++){
            if(s[i]==t[i]){
                c[i][j]=c[i-1][j-1]+1;
            }else{
                c[i][j]=std::max(c[i-1][j],c[i][j-1]);
            }
            maxlen=std::max(c[i][j],maxlen);
        }
    }
    return max
}
int main(){
	int N;
    
    std::cin >> N;
    std::string s1,s2;
    for(int i=0;i<N;i++){
        std::cin >> s1 >> s2;
        std::cout << LCS(s1,s2) <<std::endl;
    }
        
    
    return 0;
}

C++: #include <iostream>
#include <cstdio>
#include <cstring>
#include <sstream>
#include <algorithm>
#include <math.h>
#include <map>
#include <functional>
#include <iomanip>
#include <vector>
#include <queue>
#include <stack>
#include <set>
#include <typeinfo>
#define PI 3.14159265359
#define INF 99999999;
#define rep(i, n) for(int i=0; i<n; i++)
#define REP(n) rep(i, n)
#define EPS 1e-10
typedef long long ll;
using namespace std;
typedef pair<int, int> P;

double distanceAB(double xa, double ya, double xb, double yb);
void trace(int A[], int N);

/*
class Target
{
public:
	vector <string> draw(int n)
	{

	}
};
*/


static const int N = 1000;
int c[N + 1][N + 1];

int lcs(string X, string Y)
{
	int m = X.size();
	int n = Y.size();
	int maxl = 0;
	X = ' ' + X;
	Y = ' ' + Y;
	for (int i=1; i<=m; i++) c[i][0] = 0;
	for (int j=1; j<=n; j++) c[0][j] = 0;
	
	for (int i=1; i<=m; i++)
	{
		for (int 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 - 1][j], c[i][j - 1]);
			}
			maxl = max(maxl, c[i][j]);
		}
	}
	
	return maxl;
}


int main()
{
	string s1, s2;
	int n;
	
	cin >> n;
	REP(n)
	{
		cin >> s1 >> s2;
		cout << lcs(s1, s2) << endl;
	}
	
	return 0;
}


void trace(int A[], int N)
{
	REP(N)
	{
		if (i > 0) cout << " ";
		cout << A[i];
	}
	cout << endl;
}


double distanceAB(double xa, double ya, double xb, double yb)
{
	return sqrt((xb-xa)*(xb-xa) + (yb-ya)*(yb-ya));
}

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

int dp[1010][1010];

int main() {
	int q;
	cin >> q;
	vector<string> x(q), y(q);
	for (int i = 0;i < q;i++) {
		cin >> x[i] >> y[i];
	}

	for (int i = 0;i <= 1000;i++) {
		dp[i][0] = 0;
		dp[0][i] = 0;
	}
	for (int i = 0;i < q;i++) {
		for (int j = 1;j <= x[i].size();j++) {
			for (int k = 1;k <= y[i].size();k++) {
				dp[j][k] = max(dp[j - 1][k], dp[j][k - 1]);
				if (x[i][j] == y[i][k]) {
					dp[j][k] = max(dp[j][k], dp[j - 1][k - 1] + 1);
				}
			}
		}
		cout << dp[x[i].size()][y[i].size()] << endl;
	}

	return 0;
}

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

using namespace std;
static const int N = 100;

int lcs(string X, string Y) {
	int c[N + 1][N + 1];
	int m = X.size();
	int n = Y.size();
	int maxl = 0;
	X = ' ' + X;
	Y = ' ' + Y;
	c[0][0] = 0;
	for (int i = 1; i <= m; i++) c[i][0] = 0;
	for (int j = 1; j <= n; j++) c[0][j] = 0;

	for (int i = 1; i <= m; i++) {
		for (int 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 - 1][j], c[i][j - 1]);
			}
			maxl = max(maxl, c[i][j]);
		}
	}
	return maxl;
}

int main() {
	string s1, s2;
	int n; 
	cin >> n;
	for (int i = 0; i < n; i++) {
		cin >> s1 >> s2;
		cout << lcs(s1, s2);
		cout << endl;
	}
	return 0;
}

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

using namespace std;
int main(){
  int dataset, i, j, k, alen, blen;
  string a, b;
  cin >> dataset;
  for (i = 0; i < dataset; ++i){
    cin >> a >> b;
    alen = a.length();
    blen = b.length();
    int lcs[alen+1][blen+1];
    for (j = 0; j <= alen; ++j){
      for (k = 0; k <= blen; ++k){
        lcs[j][k] = 0;
      }
    }
    for (j = 1; j <= alen; ++j){
      for (k = 1; k <= blen; ++k){
        if(a.at(j-1) == b.at(k-1)){
          lcs[j][k] = lcs[j-1][k-1] + 1;
        }else{
          lcs[j][k] = max(lcs[j-1][k], lcs[j][k-1]);
        }
      }
    }
    cout << lcs[alen][blen] << endl;
  }
}