Go: package main

import (
	"fmt"
	"os"
	"strconv"
	"bufio"
	"strings"
	"sort"
)

// define
var (
	sc = bufio.NewScanner(os.Stdin)
)

func bordersInt(in_map [][]int, invalid int) [][]int{
	H, W := len(in_map), len(in_map[0])
	out_map := make([][]int, H+2)
	for h:=0; h<H+2; h++ {
		out_map[h] = make([]int, W+2)
		for w:=0; w<W+2; w++ {
			out_map[h][w] = invalid
		}
	}
	for h:=0; h<H; h++{
		for w:=0; w<W; w++{
			out_map[h+1][w+1] = in_map[h][w] 
		}
	}
	return out_map
}

func bordersString(in_map [][]string, invalid string) [][]string{
	H, W := len(in_map), len(in_map[0])
	out_map := make([][]string, H+2)
	for h:=0; h<H+2; h++ {
		out_map[h] = make([]string, W+2)
		for w:=0; w<W+2; w++ {
			out_map[h][w] = invalid
		}
	}
	for h:=0; h<H; h++{
		for w:=0; w<W; w++{
			out_map[h+1][w+1] = in_map[h][w] 
		}
	}
	return out_map
}

func scanIntLine(len int) []int{
	arr := make([]int, len)
	for i:=0; i<len; i++{
		sc.Scan()
		tmp, err := strconv.Atoi(sc.Text())
		if err == nil{
			arr[i] = tmp
		}
	}
	return arr
}

func scanStringLine(len int) []string{
	arr := make([]string, len)
	for i:=0; i<len; i++{
		sc.Scan()
		arr[i] = sc.Text()
	}
	return arr
}

func scanIntSplit(len int) []int{
	arr := make([]int, len)
	sc.Scan()
	for i, v := range strings.Split(sc.Text(), " "){
		tmp, err := strconv.Atoi(v)
		if err == nil{
			arr[i] = tmp
		}
	}
	return arr
}

func maxInt(args... int) int{
	sort.Ints(args)
	return args[len(args)-1]
}

func main(){
	var n int 
	fmt.Scan(&n)
	dp := make([][]int, 1003)
	for i:=0; i<1003; i++ {
		dp[i] = make([]int, 1003)
	}
	input_lines := scanStringLine(2*n)
	for i:=0; i<n; i++ {
		S, T := input_lines[2*i], input_lines[2*i+1]
		lenS, lenT := len(S), len(T)
		for i:=1; i<lenS+1; i++ {
			for j:=1; j<lenT+1; j++ {
				if S[i-1] == T[j-1] {
					dp[i][j] = maxInt(dp[i-1][j-1]+1, dp[i-1][j], dp[i][j-1])
				} else {
					dp[i][j] = maxInt(dp[i-1][j], dp[i][j-1])
				}
			}
		}
		fmt.Println(dp[lenS][lenT])
	}
}

C++: #include <iostream>
#include <string>
#include <algorithm>
#define MAX 1000

using namespace std;

string s,t;
int dp[MAX + 1][MAX + 1];

int LCS(void){

  for( int i = 0 ; i < s.size() ; i++ ){
    for( int j = 0 ; j < t.size() ; j++ ){
      if( s[i] == t[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]);
      }
    }
  }
  return dp[s.size()][t.size()];
}


int main(void){

  int n;
  cin >> n;
  while(n--){

    memset(dp, 0 , sizeof(dp) );

    cin >> s >> t;
    cout << LCS() << endl;

  }
  return 0;
}

C++: #include <iostream>
#include <stdlib.h>
#include <algorithm>
using namespace std;

int LCS(string s, string t);

int main(void){
  int n;
  string s;
  string t;
  cin>>n;
  for(int i=0;i<n;i++){
    cin>>s;
    cin>>t;
    cout<<LCS(s,t)<<endl;
  }
}

int LCS(string s, string t){
  int a[s.length()+1][t.length()+1];
  for(int i=0;i<s.length()+1;i++){
    for(int j=0;j<t.length()+1;j++){
      a[i][j]=0;
    }
  }
  char S,T;
  for(int i=1;i<s.length()+1;i++){
    for(int j=1;j<t.length()+1;j++){
      S=s[i-1];
      T=t[j-1];
      if(S!=T){
        a[i][j]=max({a[i-1][j-1],a[i-1][j],a[i][j-1]});
      }
      else{
        a[i][j]=max({a[i-1][j-1]+1,a[i-1][j],a[i][j-1]});
      }
    }
  }
  return a[s.length()][t.length()];
}

C++: #include <bits/stdc++.h>
using ll = long long;
using namespace std;
#define rep(i,n) for(int i=0, i##_len=(int)(n); i<i##_len; i++)
#define reps(i,n) for(int i=1 , i##_len=(int)(n);i<=i##_len;i++)
#define rrep(i,n) for(int i=((int)(n)-1);i>=0;i--)
#define rreps(i,n) for(int i=((int)(n));i>0;i--)
#define all(x) (x).begin(), (x).end()
#define F first
#define S second
#define mp make_pair
#define pb push_back
#define solve(a) ((a)?"Yes":"No")
typedef vector<long long> V;
typedef vector<V> VV;
typedef pair<long long , long long> P;
typedef vector<P> VP;
template<class T> inline bool chmax(T& a, T b) { if (a < b) { a = b; return 1;} return 0;}
template<class T> inline bool chmin(T& a, T b) { if (a > b) { a = b; return 1;} return 0;}
const long long INFLL = 1LL<<62;
const int INF = 1<<30;
const double PI=acos(-1);
int main(){
    int n;
    cin >>n;
    int a=0,b=0;
    string x,y;
    vector<vector<int>>dp(1010,vector<int>(1010,0));
    rep(_,n){
        rep(i,a+1){
            rep(j,b+1){
                dp[i][j]=0;
            }

        }
        cin>>x>>y;
        a=x.size();
        b=y.size();
       
        rep(i,a){
            rep(j,b){
                
                    chmax(dp[i+1][j+1],dp[i][j+1]);
                
                if(j!=0){
                    chmax(dp[i+1][j+1],dp[i+1][j]);
                }
                if(x[i]==y[j]){
                    chmax(dp[i+1][j+1],dp[i][j]+1);
                }
            }
        }
        cout<<dp[a][b]<<endl;
    }
    
}

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

const int MAX_N=1e3+5;

string s1,s2;

int dp[MAX_N][MAX_N];


int lcs(int i,int j){
	if(i==s1.size() || j==s2.size())return 0;
	if(dp[i][j]!=-1)return dp[i][j];
	if(s1[i]==s2[j])return dp[i][j]=lcs(i+1,j+1)+1;
	return dp[i][j]=max(lcs(i+1,j),lcs(i,j+1));
}

int main(){
	int n;
	cin>>n;
	for(int i=0;i<n;i++){
		s1.clear();s2.clear();
		for(int j=0;j<MAX_N;j++)fill(dp[j],dp[j]+MAX_N,-1);
		cin>>s1>>s2;
		cout<<lcs(0,0)<<endl;
	}
}

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

int lcs(string &X, string &Y) {
  int dp[1000 + 1][1000 + 1];
  int max = 0;
  int m = X.size();
  int n = Y.size();
  X = ' ' + X;
  Y = ' ' + Y;

  for (int i = 1; i <= m; i++)
    dp[i][0] = 0;

  for (int i = 1; i <= n; i++)
    dp[0][i] = 0;

  for (int i = 1; i <= m; i++) {
    for (int j = 1; j <= n; j++) {
      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];

      if(max < dp[i][j])
	max = dp[i][j];
    }
  }

  return max;
}

int main() {
  int N = 0;
  cin >> N;

  string X, Y;
  for (int i = 0; i < N; i++) {
    cin >> X >> Y;

    cout << lcs(X, Y) << endl;
  }

  return 0;
}

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

int longestCommonSubsequence(string X, string Y) {
	int DP_memory[1000+1][1000+1]; //0~length??????

	for (unsigned int i = 0; i <= X.length(); i++)
		DP_memory[i][0] = 0;
	for (unsigned int i = 0; i <= Y.length(); i++)
		DP_memory[0][i] = 0;

	for (unsigned int i = 1; i <= X.length(); i++) {
		for (unsigned int j = 1; j <= Y.length(); j++) {
			if (X[i] == Y[j])
				DP_memory[i][j] = DP_memory[i - 1][j - 1] + 1;
			else if (DP_memory[i - 1][j] >= DP_memory[i][j - 1])
				DP_memory[i][j] = DP_memory[i - 1][j];
			else
				DP_memory[i][j] = DP_memory[i][j - 1];
		}
	}
	return DP_memory[X.length()][Y.length()];
}

int main() {
	string lcsX[1000];
	string lcsY[1000];
	int setNum;

	cin >> setNum;
	for (int i = 0; i < setNum; i++) {
		cin >> lcsX[i];
		cin >> lcsY[i];

		int lcs = longestCommonSubsequence(lcsX[i], lcsY[i]);
		cout << lcs << endl;
	}
	return 0;
}

C++: #include <iostream>

using namespace std;

int lcs(string X, string Y) {
  int memo[1010][1010];
  int m = X.size();
  int n = Y.size();
  X = ' ' + X;
  Y = ' ' + Y;
  for (int i = 0; i < m; i++) {
    memo[i][0] = 0;
  }
  for (int j = 0; j < m; j++) {
    memo[0][j] = 0;
  }
  int max_lcs = 0;
  for (int i = 1; i <= m; i++) {
    for (int j = 1; j <= n; j++) {
      if (X[i] == Y[j]) {
        memo[i][j] = memo[i-1][j-1] + 1;
      } else {
        memo[i][j] = max(memo[i][j-1], memo[i-1][j]);
      }
      max_lcs = max(max_lcs, memo[i][j]);
    }
  }
  return max_lcs;
}

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