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>
#define rep(i,a) for(i=0;i<a;i++)
using namespace std;

int main(void){
    int i,j,q;
    string x,y;
    vector<vector<int> > lcs;
    cin >> q;
    while(q--){
        cin >> x >> y;
        int M = x.size();
        int N = y.size();
        lcs.resize(M+1);
        rep(i,M+1){
            lcs[i].resize(N+1);
        }
        rep(i,M){
            rep(j,N){
                if(x[i] == y[j])
                    lcs[i+1][j+1] = lcs[i][j]+1;
                else
                    lcs[i+1][j+1] = max(lcs[i+1][j],lcs[i][j+1]);
            }
        }
        cout << lcs[M][N] << endl;
    }
    return 0;
}

C++: #include<bits/stdc++.h>
using namespace std;
int main()
{
    int q,i,j,k,l1,l2,m,n;
    string X,Y;
    cin>>q;
    for(i=0; i<q; i++)
    {
        cin>>X>>Y;
        l1=X.length()+1;
        l2=Y.length()+1;
        int arr[l2][l1];
        for(k=0; k<l1; k++)
        {
            arr[0][k]=0;
        }
        for(k=0; k<l2; k++)
        {
            arr[k][0]=0;
        }
        for(k=1; k<l2; k++)
        {
            for(j=1; j<l1; j++)
            {
                if(Y[k-1]==X[j-1])
                {
                    arr[k][j]=1+arr[k-1][j-1];
                }
                else
                {
                    m=arr[k-1][j];
                    n=arr[k][j-1];
                    arr[k][j]=max(m,n);
                }
            }
        }
        cout<<arr[l2-1][l1-1]<<endl;
    }
}

C++: // 最長共通部分列 問題
#include<cstdio>
#include<cstdlib>
#include<cstring>
#include<stack>
#include<algorithm>
#include<iostream>
#include<cmath>
#include<vector>

using namespace std;

#define MAX_LEN 1000
// 無効な値の定義
const int INV = -1;

int longestCommonSubstring(string a, string b);

int main(void)
{

    int q, len;
    string first_str, second_str;

    cin >> q;

    for(int i = 0; i < q; i++)
    {
        cin >> first_str;
        cin >> second_str;

        len = longestCommonSubstring(first_str, second_str);
        printf("%d\n", len);
    }



    return 0;
}

// 最長共通部分列を算出する関数
int longestCommonSubstring(string str_a, string str_b)

{
    int dp[MAX_LEN + 1][MAX_LEN + 1];
    int a_len, b_len;

    a_len = str_a.size();
    b_len = str_b.size();

    // 文字列の先頭に空白を挿入する
    str_a = " " + str_a;
    str_b = " " + str_b;

    for(int i = 0; i <= a_len; i++)
    {
        dp[i][0] = 0;
    }

    for(int j = 0; j <= b_len; j++)
    {
        dp[0][j] = 0;
    }

    // 最長共通部分列の算出
    for(int i = 1; i <= a_len; i++)
    {
        for(int j = 1; j <= b_len; j++)
        {
            if( str_a[i] == str_b[j] )
            {
                // 最後の文字が一致している時
                dp[i][j] = dp[i - 1][j - 1] + 1;
            }
            else
            {
                // 最後の文字が一致していない時
                dp[i][j] = max(dp[i - 1][j], dp[i][j - 1]);
            }
        }
    }

	return dp[a_len][b_len];
}

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

using namespace std;

void
chmax(int& aa, int bb)
{
  if (aa < bb) {
    aa = bb;
  }
}

int
main()
{
  int   qq;

  cin >> qq;

  
  for (int qi = 0; qi < qq; qi++) {
    string      xx;
    string      yy;
    vector<vector<int> > dp;

    cin >> xx;
    cin >> yy;

//    cout << xx << endl;
//    cout << xx.length() << endl;

    dp.assign(xx.length() + 1, vector<int>(yy.length() + 1, 0));

    for (int xi = 0; xi < xx.length(); ++xi) {
      for (int yi = 0; yi < yy.length(); ++yi) {
        //cout << yi << endl;
        if (xx[xi] == yy[yi]) {
          dp[xi + 1][yi + 1] = dp[xi][yi] + 1;
        }
        chmax(dp[xi + 1][yi + 1], dp[xi][yi + 1]);
        chmax(dp[xi + 1][yi + 1], dp[xi + 1][yi]);
      }
    }
    cout << dp.back().back() << endl;
  }
}

C++: #include <bits/stdc++.h>
#include<iostream>
#include<algorithm>
#include<vector>
#include<stdio.h>
#include<cstring>
#include<math.h>
#include<map>
#include<bitset>
#include<iomanip>
#include<queue>
#include<functional>
#include<stack>
#include<tuple>
#include<cassert>
using namespace std;

#define rep(i, n) for (int i = 0; i < (int)(n); ++i)
using P = pair<int, int>;

int n;
int dp[1001][1001];

int main() {
  cin >> n;
  rep(i, n) {
    string x, y;
    cin >> x >> y;
    dp[0][0] = 0;
    rep(i, y.size()) {
      dp[0][i+1] = 0;
    }
    rep(i, y.size()) {
      dp[i+1][0] = 0;
    }
    rep(i, x.size()) {
      rep(j, y.size()) {
        dp[i+1][j+1] = max(dp[i][j+1], dp[i+1][j]);
        if(x[i] == y[j]) {
          dp[i+1][j+1] = dp[i][j] + 1;
        }
      }
    }
    cout << dp[x.size()][y.size()] << endl;
  }


  return 0;
}

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

using namespace std;

int lcs(string x,string y){
    int m = x.size();
    int n = y.size();
    int lcs_lst[m+1][n+1];
    x = ' '+x;
    y = ' '+y;
    for(int i=0;i<=m;i++) lcs_lst[i][0] = 0;
    for(int i=1;i<=n;i++) lcs_lst[0][i] = 0;

    int ans = 0;
    for(int i=1;i<=m;i++){
        for(int j=1;j<=n;j++){
            if(x[i] == y[j])
                lcs_lst[i][j] = lcs_lst[i-1][j-1]+1;
            else{
                lcs_lst[i][j] = max(lcs_lst[i][j-1],lcs_lst[i-1][j]);
            }
            ans = max(ans,lcs_lst[i][j]);

        }
    }

    return ans;
}

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