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<string>
using namespace std;

int Longest(string x, string y) {
  int L[1001][1001];
  int maxl = -1;
  int xlen = x.size();
  int ylen = y.size();

  x = ' ' + x;
  y = ' ' + y;

  for (int i = 1; i <= xlen; i++) L[i][0] = 0;
  for (int j = 1; j <= ylen; j++) L[0][j] = 0;

  for (int i = 1; i <= xlen; i++) {
    for (int j = 1; j <= ylen; j++) {
      if (x[i] == y[j])
        L[i][j] = L[i-1][j-1] + 1;
      else
        L[i][j] = max(L[i][j-1], L[i-1][j]);

      maxl = max(maxl, L[i][j]);
    }
  }

  return maxl;
}

int main() {
  string X, Y;
  int n;
  int result[1001];

  cin >> n;

  for (int i = 0; i < n; i++) {
    cin >> X;
    cin >> Y;
    result[i] =  Longest(X, Y);
    cout << result[i] << endl;
  }




  return 0;
}

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

#define MAX 10000

using namespace std;

int lcs(string s1, string s2) {
    int C[MAX+1][MAX+1];
    int m = s1.size();
    int n = s2.size();
    for (int i = 0; i <= m; ++i) {
        C[i][0] = 0;
    }
    for (int j = 0; j <= n; ++j) {
        C[0][j] = 0;
    }

    for (int i = 1; i <= m; ++i) {
        for (int j = 1; j <= n; ++j) {
            if (s1[i-1] == s2[j-1]) {
                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][n];
}

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

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

struct info {
	int max{};
	bool done{};
};

int build_dp(info[1000][1000], int, int);
std::string str_x, str_y;

int main()
{
	int q;

	std::cin >> q;
	for (int i = 0; i < q; ++i)
	{
		info dp[1000][1000] {};
		std::cin >> str_x >> str_y;
		std::cout << build_dp(dp, str_x.size() - 1, str_y.size() - 1) << std::endl;
	}
	return 0;
}

int build_dp(info dp[1000][1000], int x_i, int y_i)
{
	if (x_i < 0 || y_i < 0) return 0;
	if (dp[x_i][y_i].done == true) return dp[x_i][y_i].max;

	if (str_x[x_i] == str_y[y_i])
	{
		dp[x_i][y_i].max = build_dp(dp, x_i - 1, y_i - 1) + 1;
		dp[x_i][y_i].done = true;
	}
	else
	{
		dp[x_i][y_i].max = std::max(build_dp(dp, x_i - 1, y_i), build_dp(dp, x_i, y_i - 1));
		dp[x_i][y_i].done = true;
	}
	return dp[x_i][y_i].max;
}

C++: #include <iostream>

using namespace std;

int ans(string a, string b) {
  int n = a.size();
  int m = b.size();
  int memo[n+1][m+1];
  for (int i = 0; i <= n; i++) {
    for (int j = 0; j <= m; j++) {
      memo[i][j] = 0;
    }
  }

  for (int i = 1; i <= n; i++) {
    for (int j = 1; j <= m; j++) {
      int res = max(memo[i-1][j], memo[i][j-1]);
      if (a[i-1] == b[j-1]) {
        res = max(res, memo[i-1][j-1] + 1);
      } else {
        res = max(res, memo[i-1][j-1]);
      }
      memo[i][j] = res;
    }
  }
  
  return memo[n][m];
}

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

  for (int i = 0; i < q; i++) {
    string a, b;
    cin >> a >> b;
    
    cout << ans(a, b) << endl;
  }

  return 0;
}

C++: #include<iostream>

using namespace std;

int dp[1001][1001];

int main(){
    int q, m, n;
    cin >> q;

    while(q-- > 0){
        string x, y;
        cin >> x >> y;
        m = x.length();
        n = y.length();
        for(int i = 0; i <= m; i++) dp[i][0];
        for(int i = 0; i <= n; i++) dp[0][i];

        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]);
            }
        }

        cout << dp[m][n] << 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 + 1][N + 1];
    int m = X.size();
    int n = Y.size();
    int maxl = 0;
    X = " " + X;
    Y = " " + Y;
    for(int i = 0; i <= m; i++) c[i][0] = 0;
    for(int j = 0; 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) << endl;  
    }
     
    return 0;
}

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

const int MAX = 1000;
static int n, m;
static char S[150][MAX], T[150][MAX];
static int ans[150][MAX];
void solve(int in)
{
	int count_max = 0;
	for (int i = n - 1; i >= 0; i--) {
		count_max = 0;
		for (int j = n - 1; j >= 0; j--) {
			int count = 0;
			int tem_i = i, tem_j = j;
			//?????´??????????????????????????????????????´????????´????????¢?´¢??????
			if (S[in][tem_i] == T[in][tem_j] && S[in][tem_i + 1] == T[in][tem_j + 1] && tem_i + 1 < n && tem_j + 1 < m)
				break;
			while (S[in][tem_i] == T[in][tem_j]&& tem_i>=0 && tem_j>=0 ) {
				count++;
				tem_i--;
				tem_j--;
			}
			if (count_max < count) {
				count_max = count;
			}
		}
		ans[in][i] = count_max;
		//???????????§??§i??????????????§?????¨??????????±???????.
	}
}
int main()
{
	int q;
	cin >> q;
	for (int i = 0; i < q; i++) {
		cin >> S[i];
		cin >> T[i];
		n = strlen(S[i]);
		m = strlen(T[i]);
		solve(i);
	}

	for (int i = 0; i < q; i++)
	cout << *max_element(&ans[i][0], &ans[i][n]) << endl;

	return 0;
}

C++: #include <iostream>
#include <string>
#define repi(i,a,b) for(int i=(a);i<(b);++i)
#define rep(i,a) repi(i,0,a)
#define clr(a,v) memset((a),(v),sizeof(a))

int q;
int dp[1000][1000];
std::string s, t;

int rec( int i, int j )
{
  int &ret = dp[i][j];

  if( ~ret )
    return ret;

  if( i == s.size() || j == t.size() )
    return 0;

  ret = 0;

  if( s[i] == t[j] )
    ret = std::max( ret, rec( i+1, j+1 )+1 );

  ret = std::max( { ret, rec( i+1, j ), rec( i, j+1 ) } );

  return ret;
}

int main()
{
  scanf( "%d", &q );
  while( q-- )
  {
    std::cin >> s >> t;

    clr( dp, -1 );

    std::cout << rec( 0, 0 ) << std::endl;
  }

  return 0;
}

C++: #include<stdio.h>
#include<string.h>
????????
int LCS(char *X, char *Y){
????int i,j,m,n,c[1001][1001];
????m = strlen(X);
????n = strlen(Y);
????????????
????for(i=0; i<m; i++){
????????c[i][0] = 0;
????}
????for(j=0; j<n; j++){
????????c[0][j] = 0;
????}
????????
????for(i=1;i<m+1;i++){
????????for(j=1;j<n+1;j++){
????????????if (X[i-1]==Y[j-1]) 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];
????????}
????}
????return c[i-1][j-1];
}
????????
int main(){
??}
????return 0;
}