Go: package main

/*
最長共通部分列
*/

import (
	"bufio"
	"bytes"
	"fmt"
	"log"
	"os"
	"strconv"
	"strings"
)

func larger(l, r int) int {
	if l > r {
		return l
	}
	return r
}

var memo [1001][1001]int

func countLCS(x, y string) int {
	x = " " + x
	y = " " + y
	max := 0
	for xi := 1; xi < len(x); xi++ {
		for yi := 1; yi < len(y); yi++ {
			if x[xi] == y[yi] {
				memo[xi][yi] = memo[xi-1][yi-1] + 1
			} else {
				memo[xi][yi] = larger(memo[xi-1][yi], memo[xi][yi-1])
			}
			max = larger(max, memo[xi][yi])
		}
	}
	return max
}

func main() {
	scanner := makeScanner(1024)
	q := eGetInt(scanner)
	for i := 0; i < q; i++ {
		x := eGetLine(scanner)
		y := eGetLine(scanner)
		fmt.Println(countLCS(x, y))
	}
}

////////////////////////////////////////////////////////////////////////////////
// ライブラリ
////////////////////////////////////////////////////////////////////////////////
func makeScanner(maxByte int) *bufio.Scanner {
	scanner := bufio.NewScanner(os.Stdin)
	scanner.Buffer(make([]uint8, 0, 8192), maxByte)
	return scanner
}
func makeWordScanner() *bufio.Scanner {
	scanner := makeScanner(8192)
	scanner.Split(bufio.ScanWords)
	return scanner
}
func eGetLine(r *bufio.Scanner) string {
	if r.Scan() {
		return r.Text()
	}
	err := r.Err()
	if err != nil {
		log.Fatal(err)
	}
	// EOF
	return ""
}
func eGetInt(r *bufio.Scanner) int {
	line := eGetLine(r)
	return eAtoi(line)
}
func eGetFields(r *bufio.Scanner) []string {
	line := eGetLine(r)
	return strings.Fields(line)
}
func eGetInts(r *bufio.Scanner) []int {
	fields := eGetFields(r)
	ints := make([]int, len(fields))
	for i := 0; i < len(ints); i++ {
		ints[i] = eAtoi(fields[i])
	}
	return ints
}
func eGetChars(r *bufio.Scanner) []string {
	line := eGetLine(r)
	return strings.Split(line, "")
}
func eAtoi(s string) int {
	n, err := strconv.Atoi(s)
	if err != nil {
		log.Fatal(err)
	}
	return n
}

type ints []int

func (s ints) String() string {
	var buf bytes.Buffer
	buf.WriteString("[")
	sep := ""
	for _, v := range s {
		buf.WriteString(fmt.Sprintf("%s%d", sep, v))
		sep = ", "
	}
	buf.WriteString("]")
	return buf.String()
}

func reverse(a ints) ints {
	r := make(ints, len(a))
	for i := 0; i < len(a); i++ {
		r[i] = a[len(a)-1-i]
	}
	return r
}
func max(a ints) (int, bool) {
	if len(a) == 0 {
		return 0, false
	}
	m := a[0]
	for _, e := range a {
		if e > m {
			m = e
		}
	}
	return m, true
}
func min(a []int) int {
	m := a[0]
	for _, v := range a {
		if v < m {
			m = v
		}
	}
	return m
}

func sum(a ints) int {
	if len(a) == 0 {
		return 0
	}
	sum := 0
	for _, e := range a {
		sum += e
	}
	return sum
}
func find(n int, a ints) int {
	for i, v := range a {
		if n == v {
			return i
		}
	}
	return -1
}

C++: /*
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   ???????????????                         
*/

#include "bits/stdc++.h"
#include <unordered_set>

#define _CRT_SECURE_NO_WARNINGS

#define REP(i, n) for(decltype(n) i = 0; i < (n); i++)
#define REP2(i, x, n) for(decltype(x) i = (x); i < (n); i++)
#define REP3(i, x, n) for(decltype(x) i = (x); i <= (n); i++)
#define RREP(i, n) for (decltype(n) i = (n) - 1; i >= 0; i--)

#define ALL(a) (a).begin(),(a).end()
#define SORT(c) sort((c).begin(),(c).end())
#define DESCSORT(c) sort(c.begin(), c.end(), greater<int>())

using namespace std;

const int INF = 1000000000;
const double PI = 3.1415926535897932384626433832795;

// N, E, S, W
const int dx[4] = { -1, 0,  1,  0 };
const int dy[4] = { 0, 1,  0, -1 };

using LL = long long int;
using LD = long double;
using pii = pair<int, int>;
using pdd = pair<double, double>;
using pll = pair<LL, LL>;
using vi = vector<int>;
using vd = vector<double>;
using vvi = vector<vi>;
using vll = vector<LL>;

//==============================================
vvi dp(1050, vi(1050));

int lcs(string x, string y) {
	int ans = 0;
	int m = x.length();
	int n = y.length();

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

	REP3(i, 1, m) {
		REP3(j, 1, n) {
			if (x[i] == y[j]) {
				dp[i][j] = dp[i - 1][j - 1] + 1;
			} else if (dp[i - 1][j] >= dp[i][j - 1]) {
				dp[i][j] = dp[i - 1][j];
			} else {
				dp[i][j] = dp[i][j - 1];
			}

			ans = max(ans, dp[i][j]);
		}
	}

	return ans;
}

int main() {
	ios::sync_with_stdio(false);
	cin.tie(0);

	int q;
	cin >> q;

	string str1, str2;
	REP(i, q) {
		cin >> str1 >> str2;
		cout << lcs(str1, str2) << "\n";
	}
	return 0;
}

C++: #include <iostream>
#include <iomanip>
#include <string>
#include <vector>
#include <stack>
#include <queue>
#include <deque>
#include <set>
#include <map>
#include <utility>
#include <tuple>
#include <algorithm>
#include <numeric>
#include <cstdio>
#include <cmath>
#define rep(i, n) for(int i = 0; i < (n); i++)
using namespace std;
using ll = long long;
template<class T> inline bool chmax(T& a, T b) { if (a < b) { a = b; return true; } return false; }
template<class T> inline bool chmin(T& a, T b) { if (a > b) { a = b; return true; } return false; }

int main(){
  int q;
  cin >> q;
  rep(repert, q) {
    string X, Y;
    cin >> X >> Y;
    vector<vector<int>> dp(X.size()+1, vector<int>(Y.size()+1));
    rep(i, X.size()) {
      rep(j, Y.size()) {
        if(X[i] == Y[j]) {
          dp[i+1][j+1] = dp[i][j]+1;
        } else {
          dp[i+1][j+1] = max({dp[i+1][j], dp[i][j+1]});
        }
      }
    }
    cout << dp[X.size()][Y.size()] << endl;
  }
  return 0;
}

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

int DP[1010][1010];

int main() {
  int n;
  cin >> n;
  for (auto t=0; t<n; t++) {
    string A, B;
    cin >> A >> B;
    int LA = (int) A.size();
    int LB = (int) B.size();
    fill(&DP[0][0], &DP[0][0]+1010*1010, 0);
    for (auto i=-1; i<LA; i++) {
      for (auto j=-1; j<LB; j++) {
        if (i == -1 || j == -1) {
          DP[i+1][j+1] = 0;
        } else if (A[i] == B[j]) {
          DP[i+1][j+1] = 1 + DP[i][j];
        } else {
          DP[i+1][j+1] = max(DP[i+1][j], DP[i][j+1]);
        }
      }
    }
    cout << DP[LA][LB] << endl;
  }
}