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 <vector>
#include <stack>
#include <cmath>
#include <algorithm>
using namespace std;

void solve(){
  int q; cin >> q;
  for(int i = 0; i < q; i++){
    string x, y; cin >> x >> y;
    int xn = x.size(), yn = y.size();
    vector<vector<int> > lcs(xn + 1, vector<int>(yn + 1));
    for(int i = 0; i <= xn; i++) lcs[i][0] = 0;
    for(int i = 0; i <= yn; i++) lcs[0][i] = 0;
    for(int j = 1; j <= xn; j++){
      for(int k = 1; k <= yn; k++){
        if(x[j - 1] == y[k - 1]) lcs[j][k] = lcs[j - 1][k - 1] + 1;
        else lcs[j][k] = max(lcs[j - 1][k], lcs[j][k - 1]);
      }
    }
    cout << lcs[xn][yn] << endl;
  }
  return;
}

int main(){
  solve();
  return 0;
}

C++: 

#include <iostream>
#include<string>
#include<algorithm>
using namespace std;
#define LEN  1001
int Position[LEN][LEN];//每个坐标都是LCS的长度
int includeGetLCS(string first, string second)
{
	int firstlen = first.size();
	int secondlen = second.size();//得到string的长度
	first = " " + first, second = " " + second;//在前面加个空格，以便下面；
	int Position[LEN][LEN];//每个坐标都是LCS的长度
	for (int i = 0; i <= secondlen; i++) Position[0][i]=0;//任意一方没有数据，LCS为0；
	for (int i = 1; i <=firstlen; i++)Position[i][0]=0;
	for (int i = 1; i <= firstlen; i++)
	{
		for (int j = 1; j <= secondlen; j++)
		{
			if (first[i] == second[j])//最后一个相等时候
				Position[i][j] = Position[i - 1][j - 1] + 1;//前面的LCS+1；
			else
			{
				if (Position[i][j - 1] >= Position[i - 1][j])//不相等的时候，比较各自减一的LCS，取最大的那个LCS
					Position[i][j] = Position[i][j - 1];
				else
					Position[i][j] = Position[i - 1][j];
			}
		}

	}
int max=0;
	if (max >= Position[firstlen][secondlen])
		return max;
	else
		return	Position[firstlen][secondlen];
}
int main()
{
	string first, second;
	int number;
	cin >> number;
	for (int i = 0; i < number; i++)
	{
		cin >> first>>second;
		cout << includeGetLCS(first, second)<<endl;
	}
}

C++: #include<iostream>
#include<vector>
#include<string>
#include<cstdio>
#include<set>
#include<algorithm>
#define ll long long
using namespace std;

int dp[1001][1001];
int main() {
	int b;
	scanf("%d", &b);
	char e[1001];
	char f[1001];
	for (int c = 0; c < b; c++) {
		scanf("%s%s", e, f);
		for (int g = 0; g <= strlen(e); g++) {
			for (int h = 0; h <= strlen(f); h++) {
				dp[g][h] = 0;
			}
		}
		for (int g = 1; g <= strlen(e); g++) {
			for (int h = 1; h <= strlen(f); h++) {
				if (e[g] == f[h]) {
					dp[g][h] = dp[g - 1][h - 1] + 1;
				}
				else {
					dp[g][h] = max(dp[g][h - 1], dp[g - 1][h]);
				}
			}
		}
		printf("%d\n", dp[strlen(e)][strlen(f)]);
	}
}

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

const int s=1001;

using namespace std;

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

	int q;
	static unsigned int dp[s][s] = {0};
	
	dp[0][0] = 0; dp[0][1] = 0; dp[1][0] = 0;

	cin >> q;
	for(int k=0; k < q; k++){
		string X,Y;
		cin >> X >> Y;
		int i,j;
		for(i=0;i<X.size();i++){
			for(j=0;j<Y.size();j++){
				if(X[i] == Y[j]) dp[i+1][j+1] = dp[i][j] + 1;
				else dp[i+1][j+1] = max(dp[i][j+1],dp[i+1][j]);
			}
		}
		cout << dp[i][j] << "\n";
	}
	return 0;
}

C++: #include <iostream>
#include <vector>
#include <algorithm>
#include <numeric>
#define FOR(i,b,e) for(int i=b;i<e;i++)
#define REP(i,n) FOR(i,0,n)
using namespace std;

int dp[1001][1001];
string s1, s2;

int lcs(int n1, int n2) {
  if (dp[n1][n2] != -1) return dp[n1][n2];
  
  dp[n1][n2] = (s1[n1-1] == s2[n2-1]) ? (1 + lcs(n1 - 1, n2 - 1)) : max(lcs(n1 - 1, n2), lcs(n1, n2 - 1));
  return dp[n1][n2];
}

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


  int q; cin >> q;
  REP(i, q) {
    REP(i, 1001) {
      REP(j, 1001) {
        dp[i][j] = -1;
      }
    }
    REP(i, 1001) dp[i][0] = 0;
    REP(i, 1001) dp[0][i] = 0;

    cin >> s1;
    cin >> s2;

    cout << lcs(s1.length(), s2.length()) << endl;
  }
}

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

int main(){
    int N;
    cin>>N;
    int ans[151];
    if(N>20){
        for(int i=0;i<N;i++){
            string inp1,inp2;
            cin>>inp1;
            cin>>inp2;
            int dp[101][101]={};
            for(int j=1;j<=inp1.size();j++){
                for(int k=1;k<=inp2.size();k++){
                    if(inp1[j-1]==inp2[k-1]){
                        dp[j][k]=dp[j-1][k-1]+1;
                    }else{
                        dp[j][k]=max(dp[j-1][k],dp[j][k-1]);
                    }
                }
            }
            ans[i]=dp[inp1.size()][inp2.size()];
        }
    }else{
        for(int i=0;i<N;i++){
            string inp1,inp2;
            cin>>inp1;
            cin>>inp2;
            int dp[1001][1001]={};
            for(int j=1;j<=inp1.size();j++){
                for(int k=1;k<=inp2.size();k++){
                    if(inp1[j-1]==inp2[k-1]){
                        dp[j][k]=dp[j-1][k-1]+1;
                    }else{
                        dp[j][k]=max(dp[j-1][k],dp[j][k-1]);
                    }
                }
            }
            ans[i]=dp[inp1.size()][inp2.size()];
        }
    }
    for(int i=0;i<N;i++){
        cout<<ans[i]<<endl;
    }
    return 0;
}