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 <cstring> 
using namespace std;
int c[1001][1001];

int lcs(string x, string y)
{
    int maxl = 0;
    int m = x.length(), n = y.length();
 
    for (int i = 1; i <= m; i++) c[i][0] = 0;
    for (int j = 1; j <= n; j++) c[0][j] = 0;


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

int main()
{
    
    //freopen("in1.txt","r",stdin);
    string x,y;
    int q;
    cin>>q;
    while(q--)
    {
        cin>>x>>y;
        int ans = lcs(x, y);
        cout<<ans<<endl;
    }
    return 0;
}

C++: #include<iostream>
#include<string>
using namespace std;
 
int main(){
  int c[1001][1001];
  string x,y;
  int n; cin >> n;
  while(n>0){
    n--;
    
    //文字列の入力
    cin >> x;
    cin >> y;

    //入力した文字列の長さをもとめる
    int lenx = x.size();
    int leny = y.size();
 
    //初期条件
    for(int i = 1; i <= lenx; i++){
      c[i][0] = 0;
    }
    
    //初期条件
    for(int j = 1; j <= leny; j++){
      c[0][j] = 0;
    }


    //LCS
    for(int i = 1; i <= lenx; i++){
      for(int j = 1; j <= leny; j++){
	//着目している文字が等しいとき
    if(x[i-1]==y[j-1]){
      c[i][j] = c[i-1][j-1] + 1;
      //着目している文字が等しくないときは
      //表の左と上の小さいほうを出力
    }else if(c[i-1][j] >= c[i][j-1]){
      c[i][j] = c[i-1][j];
    }else{
      c[i][j] = c[i][j-1];
    }
      }
    }
    
    //出力
    cout << c[lenx][leny] << endl;
  }
  return 0;
}

C++: /*
 * ALDS1_10_C.cpp
 *
 *  Created on: May 5, 2018
 *      Author: 13743
 */

#include<cstdio>
#include<cstring>
#include<algorithm>

int dp[1001][1001];
bool dpR[1001][1001];

int lcm(char* X, char* Y, int nx, int ny) {
	dp[1][1] = (X[0] == Y[0]);
	for(int i=1; i<=nx; i++) {
		for(int j=1; j<=ny; j++) {
			dp[i][j] = (X[i-1]==Y[j-1]) + dp[i-1][j-1];
			dp[i][j] = std::max(dp[i-1][j], dp[i][j]);
			dp[i][j] = std::max(dp[i][j-1], dp[i][j]);
		}
	}
	return dp[nx][ny];
}

int lcmRec(char* X, char* Y, int nx, int ny) {
	if(nx <=0 || ny <= 0) return 0;
	if(!dpR[nx][ny]) {
		dpR[nx][ny] = 1;
		dp[nx][ny] = lcmRec(X, Y, nx-1, ny-1) + (X[nx-1]==Y[ny-1]);
		dp[nx][ny] = std::max(lcmRec(X, Y, nx-1, ny), dp[nx][ny]);
		dp[nx][ny] = std::max(lcmRec(X, Y, nx, ny-1), dp[nx][ny]);
	}
	return dp[nx][ny];
}

int main() {
	int q;
	scanf("%d", &q);
	char X[1001];
	char Y[1001];
	while(q--) {
		scanf("%s", X);
		scanf("%s", Y);
		int nx = (int)strlen(X);
		int ny = (int)strlen(Y);
		//printf("%d\n", lcm(X, Y, nx, ny));
		printf("%d\n", lcmRec(X, Y, nx, ny));
	}
}

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

const int MAX_LENGTH = 1024;

char A[MAX_LENGTH + 1];
char B[MAX_LENGTH + 1];

int tu[MAX_LENGTH][MAX_LENGTH];

void lcs(int, int);

int main()
{
	int n;
	cin >> n;
	for (int i = 0; i < n; ++i)
	{
		cin >> A >> B;
		int lA = strlen(A), lB = strlen(B);
		lcs(lA, lB);
		cout << tu[lA][lB] << endl;
	}

}

void lcs(int lA, int lB)
{
	for (int i = 0; i < lA; ++i)
		tu[0][i] = 0;
	for (int i = 0; i < lB; ++i)
		tu[i][0] = 0;

	for (int i = 1; i <= lA; i++)
	{
		for (int j = 1; j <= lB; j++)
		{
			if (A[i-1] == B[j-1])
				tu[i][j] = tu[i - 1][j - 1] + 1;
			else
				tu[i][j] = max(tu[i][j - 1], tu[i - 1][j]);
		}
	}
}

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

static const int N = 1000;

int Ics(string X, string Y) {
	int c[N + 1][N + 1];
	int m = X.size();
	int n = Y.size();
	int maxl = 0;
	X = ' ' + X;
	Y = ' ' + Y;
	for ( int i = 0; i <= m; i++ ) c[i][0] = 0;
	for ( int j = 1; j <= n; j++ ) c[0][j] = 0;

	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] = max(c[i - 1][j], c[i][j - 1]);
			}
			maxl = max(maxl, c[i][j]);
		}
	}

	return maxl;
}

int main() {
	string s1, s2;
	int n; cin >> n;
	for ( int i = 0; i<n; i++ ) {
		cin >> s1 >> s2;
		cout << Ics(s1, s2) << endl;
	}
	return 0;
}

C++: #include <cstdio>
#include <cstring>

int max(int a,int b){
  if(a<b)return b;
  else return a;
}

int main(void){
  char x[1005]={0};
  char y[1005]={0};
  int set=0;
  int dp[1005][1005]={0};
  /*dp[i][j]は、xのi文字目とyのj文字目での最長部分列*/
  scanf("%d",&set);
  int p=0,i=0,j=0;;
  for(p=0;p<set;p++){
    scanf("%s%s",x,y);
    int xl,yl;
    xl=strlen(x);yl=strlen(y);
    int ma,mb,mc;
    for(i=1;i<xl+1;i++){
      for(j=1;j<yl+1;j++){
	ma=dp[i][j-1];
	mb=dp[i-1][j];
	mc=dp[i-1][j-1];
	if(x[i-1]==y[j-1])mc++;
	//dp[i][j]= ma<mb ? (mb<mc ? mc : mb) : ma;
	dp[i][j]= max(ma,max(mb,mc));
      }
    }
    printf("%d\n",dp[xl][yl]);
  }
  return 0;
}