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<string>
using namespace std;
const int N_MAX = 1005;
char res[N_MAX][N_MAX];

int lcs(string X, string Y){
	int xLen = X.size();
	int yLen = Y.size();
	int maxRes=0;
	X=' '+X;
	Y=' '+Y;
	for(int i=1;i<=xLen;i++){
		for(int j=1;j<=yLen;j++){
			if(X[i]==Y[j]){
				res[i][j] = res[i-1][j-1]+1;
			}else if(res[i][j-1]>=res[i-1][j]){
				res[i][j] = res[i][j-1];
			}else{
				res[i][j] = res[i-1][j];
			}
			maxRes = (res[i][j]>maxRes)?res[i][j]:maxRes;
		}
	}
	return maxRes;
}

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

C++: 
#include <iostream>
#include <stdio.h>
#include <string.h>

using namespace std;

int lcs[1001][1001];

int seek_lcs_body(const char* s1, int pos1, const char* s2, int pos2)
{
	if(s1[pos1] == s2[pos2]){
		return lcs[pos1][pos2] + 1;
	}
	else if(s1[pos1] != s2[pos2]){
		int max = lcs[pos1+1][pos2] > lcs[pos1][pos2+1]? lcs[pos1+1][pos2] : lcs[pos1][pos2+1];
		return max;
	}
	return 0;
}

int seek_lcs(const char* s1, const char* s2)
{
	int sz1=strlen(s1), sz2=strlen(s2);
	for(int i=1; i<=sz1; ++i){
		for (int j=1; j<=sz2; ++j){
			lcs[i][j] = seek_lcs_body(s1, i-1, s2, j-1);
		}
	}
	cout << lcs[sz1][sz2] << endl;
	return 0;
}

int main(){
	int q;
	scanf("%d",&q);

	for(int i=0; i<1001; ++i){
		lcs[i][0] = 0;
		lcs[0][i] = 0;
	}

	for(int i=0; i<q; ++i){
		string s1, s2;
		cin >> s1;
		cin >> s2;
		seek_lcs(s1.c_str(), s2.c_str());
	}
	return 0;
}

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

int n;
string x, y;
bool mat[1000][1000];
int a[1000][1000];

int max(int i, int j) {
	int r = (!mat[i - 1][j] ? a[i - 1][j] : 0);
	r = ((!mat[i][j - 1] && a[i][j - 1] > r) ? a[i][j - 1] : r);
	return r > a[i - 1][j - 1] ? r : a[i - 1][j - 1];
}

int main(){
	cin >> n;
	for (int ia = 0; ia < n; ia++) {
		int ans = 0, p = 0;
		cin >> x >> y;
		for (int i = 0; i < x.length(); i++) {
			mat[i][0] = x[i] == y[0] ? true : false;
			a[i][0] = mat[i][0] ? 1 : 0;
		}
		for (int i = 1; i < y.length(); i++) {
			mat[0][i] = x[0] == y[i] ? true : false;
			a[0][i] = mat[0][i] ? 1 : 0;
		}
		for (int i = 1; i < x.length(); i++) {
			for (int j = 1; j < y.length(); j++) {
				mat[i][j] = x[i] == y[j] ? true : false;
				a[i][j] = max(i, j) + (mat[i][j] ? 1 : 0);
				if (a[i][j] > p) p = a[i][j];
			}
		}
		if (a[x.length() - 1][0] > p) p = a[x.length() - 1][0];
		if (a[0][y.length() - 1] > p) p = a[0][y.length() - 1];
		cout << p << endl;
	}


	return 0;
}

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

using namespace std;



int n;
string a, b;



int main(){
  cin >> n;
  while(n != 0){
    n = n -1;
    int longest[1000][1000];
    cin >> a;
    cin >> b;
    a = ' ' + a;
    b = ' ' + b;
    int mm = 0;
    
   
    for(int i = 1; i <= a.size(); ++i){
      for(int j = 1; j <= b.size(); ++j){
        if(j == 0 || i == 0){
          longest[i][j] = 0;
        }
        else if(a[i] == b[j]){
          longest[i][j] = 1 + longest[i-1][j - 1];
        }
        else{
          longest[i][j] = max(longest[i][j-1], longest[i-1][j]);
        }
        mm = max(mm, longest[i-1][j-1]);
      }
    }
    //cout << a[1] << endl;
    cout << mm << endl;
  }
}

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

int q;
int **len;
int common(string a,string b,int m,int n){
    if(m==0||n==0){
        return 0;
    }
    if(a[m-1]==b[n-1]){
        if(m>1&&n>1){
            if(len[m-2][n-2]!=-1)len[m-1][n-1]=len[m-2][n-2]+1;
            else len[m-1][n-1]=common(a.substr(0,m-1),b.substr(0,n-1),m-1,n-1)+1;
        }else{
            len[m-1][n-1]=1;
        }
    }
    else{
        int l1,l2;
        //?±?l1
        if(n>1){
            if(len[m-1][n-2]!=-1)l1=len[m-1][n-2];
            else l1=len[m-1][n-2]=common(a,b.substr(0,n-1),m,n-1);
        }else l1=0;
        if(m>1){
            if(len[m-2][n-1]!=-1)l2=len[m-2][n-1];
            else l2=len[m-2][n-1]=common(a.substr(0,m-1),b,m-1,n);
        }else l2=0;

        len[m-1][n-1]=max(l1,l2);
    }
    return len[m-1][n-1];
}

int main()
{
    cin>>q;
    int i;
    for(i=0;i<q;i++){
        string a,b;
        cin>>a>>b;
        int m=a.length();
        int n=b.length();
        len=new int*[m];
        int j;
        for(j=0;j<m;j++){
            len[j]=new int[n];
            memset(len[j],-1,n*sizeof(int));
        }
        cout<<common(a,b,m,n)<<endl;
    }
    return 0;
}

//int main(){
//    int **p=new int*[5];
//    p[1]=new int[5];
//    memset(p[1],-1,5*sizeof(int));
//    cout<<p[1][3]<<" "<<p[0][1];
//}