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++: #include <iostream>
#include <cstdio>
#include <vector>
#include <algorithm>
#include <map>
#include <numeric>
#include <string>
#include <cmath>
#include <iomanip>
#include <string>
#include <queue>
#include <list>
#include <stack>

typedef long long ll;
using namespace std;
const int mod = 1000000007;
const int MAX = 20*200+1;

int LCS(string S, string T);

int main() {

    int n; cin >> n;
    vector<int> ans(n);
    for (int i = 0; i < n; i++) {
        string s, t;
        cin >> s >> t;
        ans[i] = LCS(s, t);
    }

    for (int i = 0; i < n; i++) {
        cout << ans[i] << '\n';
    }

}

int LCS(string S, string T) {

    int row = S.size();
    int column = T.size();
    vector< vector<int> > dp(row, vector<int>(column, 0));

    for (int i = 0; i < row; i++) {
        if(S[i] == T[0]) {
            dp[i][0] = 1;
        }
        if (i > 0) {
            if (dp[i-1][0])
                dp[i][0] = 1;
        }
    }
    for (int i = 0; i < column; i++) {
        if(S[0] == T[i]) {
            dp[0][i] = 1;
        }
        if (i > 0) {
            if (dp[0][i-1])
                dp[0][i] = 1;
        }
    }

    for (int i = 1; i < row; i++) {
        for (int j = 1; j < column; j++) {
            if (S[i] == T[j]) {
                dp[i][j] = dp[i-1][j-1] + 1;
            }
            else {
                dp[i][j] = max(dp[i-1][j], dp[i][j-1]);
            }
        }
    }

    return dp[row-1][column-1];

}

C++: #include <iostream>
#include <string>
#include <stdio.h>
#include <algorithm>
#define MAX 100000


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

int main() {
    std::string s1, s2;
    int n;
    scanf("%d", &n);
    for (int i = 0; i < n; i++) {
        std::cin >> s1 >> s2;
        int a = lcs(s1, s2);
        printf("%d\n", lcs(s1, s2));
    }
    
    return 0;
}

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

// 総数を1000000007（素数）で割った余り
const long long mod = 1e9 + 7;

using ll = long long;
using pii  = pair<int, int>;
using pll = pair<ll, ll>;
#define ull unsigned long long
#define ld long double
#define vi vector<int>
#define vll vector<ll>
#define vc vector<char>
#define vs vector<string>
#define vpii vector<pii>
#define vpll vector<pll>

#define rep(i, n) for (int i = 0, i##_len = (n); i < i##_len; i++)
#define rep1(i, n) for (int i = 1, i##_len = (n); i <= i##_len; i++)
#define repr(i, n) for (int i = ((int)(n)-1); i >= 0; i--)
#define rep1r(i, n) for (int i = ((int)(n)); i >= 1; i--)

#define sz(x) ((int)(x).size())
#define all(x) (x).begin(), (x).end()
#define rall(x) (x).rbegin(), (x).rend()

#define SORT(v, n) sort(v, v + n);
#define VSORT(v) sort(v.begin(), v.end());
#define RSORT(x) sort(rall(x));
#define pb push_back
#define mp make_pair

#define INF (1e9)
#define PI (acos(-1))
#define EPS (1e-7)

ull gcd(ull a, ull b) { return b ? gcd(b, a % b) : a; }
ull lcm(ull a, ull b) { return a / gcd(a, b) * b; }

int main(){
    int q;
    cin >> q;
    rep(i, q) {
        string x, y;
        cin >> x >> y;
        vi l;
        rep(k, sz(y)) {
            int xbi = 0;
            bool skip = false;
            rep(j, sz(l)) {
                int p = x.find(y[k], xbi);
                if (p == (int)string::npos) {
                    skip = true;
                    break;
                }
                xbi = l[j];
                l[j] = min(l[j], p+1);
            }
            if (!skip) {
                int p = x.find(y[k], xbi);
                if (p != (int)string::npos) l.pb(p+1);
            }
        }
        cout << sz(l) << endl;
    }
    return 0;
}

C++: #include<iostream>
#include<string>
using namespace std;
int dp[1001][1001];
string x,y;

int calc_dp(int m, int n){
  for ( int i = 0; i <= m; i++){dp[i][0] = 0; }
  for ( int i = 0; i <= n; i++){dp[0][i] = 0; }

  for ( int i = 1; i <= m; i++){
    for ( int l = 1; l <= n; l++){
      if(x[i] == y[l]){
        dp[i][l] = dp[i-1][l-1] + 1;
      } else {
        dp[i][l] = max(dp[i][l-1], dp[i-1][l]);
      }
    }
  }
  return dp[m][n];
}

int main(){
  int q;
  cin >> q;
  // init
  for ( int i = 0 ; i < q; i++){

    string X, Y;
    cin >> X >> Y;
    x = ' ' + X;
    y = ' ' + Y;

    cout << calc_dp(X.length(), Y.length()) << endl;
  }
  return 0;
}