Go: package main

import (
	"bufio"
	"fmt"
	"os"
	"strconv"
)

type Position struct {
	X int
	Y int
}

func main() {
	sc := bufio.NewScanner(os.Stdin)
	sc.Split(bufio.ScanWords)
	n, err := nextInt(sc)
	if err != nil {
		panic(err)
	}
	for i := 0; i < n; i++ {
		strX := nextText(sc)
		strY := nextText(sc)
		fmt.Println(calcLcs(strX, strY))
	}
}

func calcLcs(strX, strY string) int {
	return lcs(strX, strY, Position{0, 0}, make(map[Position]int))
}

func lcs(strX string, strY string, position Position, memo map[Position]int) int {
	if position.X >= len(strX) || position.Y >= len(strY) {
		return 0
	}
	if v, ok := memo[position]; ok {
		return v
	}
	if strX[position.X] == strY[position.Y] {
		result := lcs(strX, strY, Position{position.X + 1, position.Y + 1}, memo)
		memo[position] = result + 1
		return memo[position]
	} else {
		result1 := lcs(strX, strY, Position{position.X + 1, position.Y}, memo)
		result2 := lcs(strX, strY, Position{position.X, position.Y + 1}, memo)
		var result int
		if result1 > result2 {
			result = result1
		} else {
			result = result2
		}
		memo[position] = result
		return result
	}
}

func nextInt(sc *bufio.Scanner) (int, error) {
	sc.Scan()
	return strconv.Atoi(sc.Text())
}

func nextText(sc *bufio.Scanner) string {
	sc.Scan()
	return sc.Text()
}

C++: #include <bits/stdc++.h>

using namespace std;

#define rep(i, n) for (int i = 0; i < (int)(n); i++)
#define all(v) v.begin(),v.end()
#define _GLIBCXX_DEBUG

using ll = long long;
using vi = vector<int>;
using vll = vector<ll>;
using vd = vector<double>;
using vvi = vector<vi>;
using vvll = vector<vll>;
using vvd = vector<vd>;
using vvvi = vector<vvi>;
using vvvll = vector<vvll>;
using vvvd = vector<vvd>;

const double pi=acos(-1);
const ll MOD=1e9+7;
const ll INF=(1LL<<60);

int main() {
    int n;
    cin>>n;
    rep(i,n){
        string w1,w2;
        cin>>w1>>w2;
        int n1=w1.size(),n2=w2.size();
        int dp[n1+1][n2+1];
        memset(dp,0,sizeof(dp));
        for (int i=1;i<n1+1;i++){
            for (int j=1;j<n2+1;j++){
                if (w1[i-1]==w2[j-1]){
                    dp[i][j]=1+dp[i-1][j-1];
                }
                else{
                    dp[i][j]=max(dp[i-1][j],dp[i][j-1]);
                }
            }
        }
        cout<<dp[n1][n2]<<endl;
    }

    

    return 0;
}

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

int main() {
    int q, max_num, now_max, start_pos, target_pos;
    char target;
    string X, Y;

    cin >> q;

    for (int i = 0; i < q; i++) {
        cin >> X >> Y;
        if (X.length() < Y.length()) swap(X, Y);
        max_num = 0;
        for (int j = 0; j < Y.length(); j++) {
            start_pos = j;
            target = Y[start_pos];
            target_pos = 0;
            now_max = 0;
            while (start_pos < Y.length()) {
                for (int k = target_pos; k < X.length(); k++) {
                    if (target == X[k]) {
                        now_max++;
                        target = Y[start_pos];
                        target_pos = k + 1;
                        break;
                    }
                }
                start_pos++;
                target = Y[start_pos];
            }
            max_num = max(max_num, now_max);
        }
        cout << max_num << endl;
    }
}

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

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

    for (int z = 0; z < q; z++) {
        string X, Y;
        cin >> X >> Y;
        int n = X.size();
        int m = Y.size();
        vector< vector<int> > dp(n+1, vector<int>(m+1));

        for (int i = 0; i < n; i++) {
            for (int j = 0; j < m; j++) {
                if (X.at(i) == Y.at(j)) {
                    dp.at(i+1).at(j+1) = dp.at(i).at(j) + 1;
                } else {
                    dp.at(i+1).at(j+1) = max(dp.at(i).at(j+1), dp.at(i+1).at(j));
                }
            }
        }

        cout << dp.at(n).at(m) << endl;
    }
}

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

using namespace std;

string  X,Y;
int q;

int do_dp(int ax,int ay){
  int dp[ax][ay] = {};
  
  for(int i = 0;i < ax;i++){
    if(X[i] == Y[0]) dp[i][0]++;
  }
  
  for(int j = 1;j < ay;j++){
    if(X[0] == Y[j]) dp[0][j]++;
  }

  for(int i = 1;i < ax;i++){
    for(int j = 1;j < ay;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]);
      }
    }
  }
  
  /*for(int i = 0;i < ax;i++){
    for(int j = 0;j < ay;j++){
      cout << dp[i][j] << " ";
    }
    cout << '\n';
    }*/
  
  return dp[ax - 1][ay - 1];
}

int main(){
  string str;
  
  cin >> q;
  
  int A[q];
  
  for(int i = 0;i < q;i++){
    cin >> X;
    cin >> Y;
    A[i] = do_dp(X.size(),Y.size());
  }
  
  for(int i = 0;i < q;i++){
    cout << A[i] << '\n';
  }
  
  return 0;
}

C++: #include<iostream>
#include<string>
#include<algorithm>
using namespase 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 = 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 ( i = 0; i < n; i++ ){
        cin >> s1 >> s2;
        cout << lcs(s1, s2) << sndl;
    }
    return 0;
}

C++: #include <iostream>
#include <algorithm>
#include <stack>
#include <string>
#include <queue>
#include <cstdlib>
#include <cstdio>
#include <cmath>
#include <vector>
#include <list>
#include <string.h>
#define _USE_MATH_DEFINES
#include <math.h>
#include <map>
#define INFTY (1<<30)
#define MAX 100000000

using namespace std;

int lcs(string x, string y) {
	int m = x.size(), n = y.size();
	int c[1000+1][1000+1];
	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];
			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[m][n];
}

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

	return 0;
}

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

using namespace std;

int lcs(string a, string b) {
  int longest_length = 0;
  int m = a.size(), n = b.size();
  int table[m+1][n+1];
  for(int i = 0; i < m+1; i++) table[i][0] = 0; 
  for(int i = 0; i < n+1; i++) table[0][i] = 0; 
  for(int i = 1; i < m+1; i++) {
    for(int j = 1; j < n+1; j++) {
      if(a[i] == b[j]){
        table[i][j] = table[i-1][j-1] + 1;
      } else {
        table[i][j] = max(table[i-1][j], table[i][j-1]);
      } 
      longest_length = max(longest_length, table[i][j]);
    }
  }
  return longest_length;
}

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