Go: package main

import "fmt"

func initialize_grid(width int,height int)[][]int{
	var grid [][]int
	for i:=0;i<height+1;i++{
		var grid_row  []int
		for j:=0;j<width+1;j++{
			grid_row = append(grid_row,0)
		}
		grid = append(grid,grid_row[:])
	}
	return grid
}

func ma(x int,y int)int{
	if x >= y{
		return x
	}else{
		return y
	}
}

func main()  {
	//Take input
	var num int
	var st1,st2 string
	var string_pairs [][]string
	fmt.Scan(&num)
	for i:=0;i<num;i++{
		var string_pair []string
		fmt.Scan(&st1)
		fmt.Scan(&st2)
		string_pair = append(string_pair,st1,st2)
		string_pairs = append(string_pairs,string_pair)
	}
	//DP
	//initialize grid
	for i:=0;i<num;i++{
		string_1 := string_pairs[i][0]
		string_2 := string_pairs[i][1]

		dp := initialize_grid(len(string_2),len(string_1))

		for j:=1;j<len(string_1)+1;j++{
			for k:=1;k<len(string_2)+1;k++{
				if string_1[j-1] == string_2[k-1]{
					dp[j][k] = dp[j-1][k-1] + 1
				}else{
					dp[j][k] = ma(dp[j-1][k],dp[j][k-1])
				}
			}
		}
		fmt.Println(dp[len(string_1)][len(string_2)])
	}
}

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

#define FOR(i,a,b) for(int i=(a);i<(b);++i)
#define REP(i,n)  FOR(i,0,n)

using namespace std;

static const int N = 10000;

int lcs(string X, string Y);

int main(void){
	string s1, s2;
	int n; cin >> n;
	int i;
	REP(i, n) {
		cin >> s1 >> s2;
		cout << lcs(s1, s2) << endl;
	}
	return 0;
}

// longest common sequence
int lcs(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;
	int i, j;
	FOR(i, 1, m + 1) FOR(j, 1, n + 1) {
		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;
}

C++: #define _CRT_SECURE_NO_WARNINGS
#include <cstdio>
#include <cstdlib>
#include <string>
#include <iostream>
#include <queue>

using namespace std;

const char *X, *Y;
int X_length, Y_length;
bool alreadySeenTable[256];
int table_lcs[1001][1001];

int lcs(int x_begin, int y_begin) {
	int i, j, to;
	int max = 0;
	int v_lcs;
	
	if (table_lcs[x_begin][y_begin] != -1) {
		return table_lcs[x_begin][y_begin];
	}
	
	for (i = 0; i < 256; i++) {
		alreadySeenTable[i] = false;
	}
	i = x_begin;
	j = y_begin;
	to = Y_length-1;
	while(i <= X_length-1) {
		bool found = false;
		while (j <= to) {
			if (X[i] == Y[j]) {
				v_lcs = lcs(i + 1, j + 1) + 1;
				if (v_lcs > max) {
					max = v_lcs;
				}
				found = true;
				break;
			}
			else {
				j++;
			}
		}
		if (found == false) {
			i++;
			j = y_begin;
		}
		else {
			i++;
			to = j - 1;
			j = y_begin;
		}
	}
	return table_lcs[x_begin][y_begin] = max;
}

int main() {

	int N;
	cin >> N;
	string stringX, stringY;

	for (int i = 1; i <= N; i++) {
		for (int i = 0; i < 1001; i++) {
			for (int j = 0; j < 1001; j++) {
				table_lcs[i][j] = -1;
			}
		}
		cin >> stringX >> stringY;
		X = stringX.c_str();
		X_length = stringX.size();
		Y = stringY.c_str();
		Y_length = stringY.size();
		printf("%d\n", lcs(0, 0));
	}
	return 0;
}

C++: #include <bits/stdc++.h>
using namespace std;
#define MAX 2000
#define NOTFOUND -1
int Max = 0;
// nまでの文字列をいくつか選んで最長共通部を作ったときの長さ
//int dp[MAX];

bool 
IsInTargetString(string strFind, string strTgt)
{
    int idx;
    string strTmp = strTgt;

    for (int i = 0; i < strFind.size(); i++)
    {
        idx = strTgt.find(strFind[i]);
        if (idx != string::npos) {
            strTmp = strTgt.substr(idx+1);
            // cout << "idx = " << idx << " strFind = " << strFind
            // << " strTmp = " << strTmp <<  "\n";
        } else {
            return false;
        }
        strTgt = strTmp;
    }
    //cout <<  "\n";
    return true;
}

int
SearchCommonSubsequence(string strSet1, string strSet2)
{
    //vector<vector<bool>> dp(MAX, vector<bool>(MAX));

    // dp[i+1][j+1] = strSet1のi 文字目までとstrSet2のj文字目まででの LCS の長さ
    vector<vector<int>> dp(MAX, vector<int>(MAX));
    dp[0][0] = 0;
    string strRes = "";


    for (int i = 0; i < strSet1.size(); i++)
    {
        for (int j = 0; j < strSet2.size(); j++)
        {
            if(strSet1[i] == strSet2[j]) {
                dp[i+1][j+1] = max({dp[i][j] + 1,dp[i+1][j], dp[i][j+1]});
            } else {
                dp[i+1][j+1] = max(dp[i+1][j], dp[i][j+1]);
            }
        }
    }
        
    // for(int i=0; i<strSet1.size(); i++) {
    //     string strTmp = strRes;
    //     strTmp += strSet1[i];

    //     //if(strSet2.find(strTmp) != string::npos) {
    //     if(IsInTargetString(strTmp, strSet2)) {
    //         // 見つかった場合は更新a
    //         strRes = strTmp;
    //     } else {
    //         // 見つからなかった場合はそのまま
    //     }
    //     dp[i] = strRes.size();
    //     //cout << strRes << ", " << strSet1[i] << "\n";
    // }

    //auto itr = std::max_element(dp.begin(), dp.end());
    //return *itr;
    return dp[strSet1.size()][strSet2.size()];
}

int main()
{
    string strSet1, strSet2;
    int n;

    cin >> n;
    for (int i = 0; i < n; i++)
    {
        cin >> strSet1 >> strSet2;

        if(strSet1.size() > strSet2.size()) swap(strSet1, strSet2);
        cout << SearchCommonSubsequence(strSet1, strSet2) << "\n";
    }    
    return 0;
}

C++: #include <iostream>
#include <cstring>
#include <cstdlib>
#include <cmath>
#include <algorithm>
#include <functional>
#include <vector>
#include <list>
#include <queue>
#include <deque>
#include <stack>
#include <map>
#include <set>
#include <bitset>
#include <tuple>
#include <cassert>
#include <exception>
#include <iomanip>
using namespace std;
typedef long long ll;
typedef unsigned long long ull;
typedef pair<ll,ll> P;
typedef vector<int> vi;
typedef vector<ll> vll;
typedef vector<string> vs;
typedef vector<P> vp;
#define rep(i,a,n) for(ll i = (a);i < (n);i++)
#define per(i,a,n) for(ll i = (a);i > (n);i--)
#define lep(i,a,n) for(ll i = (a);i <= (n);i++)
#define pel(i,a,n) for(ll i = (a);i >= (n);i--)
#define clr(a,b) memset((a),(b),sizeof(a))
#define pb push_back
#define mp make_pair
#define all(c) (c).begin(),(c).end()
#define sz size()
#define print(X) cout << (X) << endl
#define fprint(NUM,X) cout << fixed << setprecision(NUM) << (X) << endl
#define fprints(NUM,X,Y) cout << fixed << setprecision(NUM) << (X) << " " << (Y) << endl
const ll INF = 1e+9+7;
ll n,m,l;
string s,t;
ll d[200010],dp[1010][1010];
double w[1000],v[1000];
double box[200010];

ll func(){
  rep(i,0,s.sz)dp[i][0] = 0;
  rep(i,0,t.sz)dp[0][i] = 0;
  rep(i,0,s.sz){
    rep(j,0,t.sz){
      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.sz][t.sz];
}

int main(){
  cin >> n;
  rep(i,0,n){
    cin >> s >> t;
    print(func());
  }
  return 0;
}

C++: #include<iostream>
#include<string>
#include<algorithm>
using namespace std;
static const int N=1000;

int lcs(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=1;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<<lcs(s1,s2)<<endl;
	}
	return 0;
}