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<bits/stdc++.h>
using namespace std;
#define INF 100000000
const int MOD = 1000000009;

//マクロ
#define FOR(i, a, b) for(int i = (a); i < (b), i++)
#define REP(i, n) FOR(i, 0, n);
#define ALL(a) (a).begin(),(a).end()

// 最長共通部分列問題
// 入力
// S T

// dp[i + 1][j + 1] := Sのi文字目までと、Tのj文字目までのLCSの長さ
// 計算量 O(|S||T|)

int main(){

    //入力
    int n; cin >> n;
    for(int roop = 0; roop < n; roop++){
        string S, T; cin >> S >> T;
        vector<vector<int> > dp(S.size() + 1, vector<int> (T.size() + 1, 0));

        //dp初期条件
        dp[0][0] = 0;

        //dp
        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] = max(dp[i + 1][j + 1], dp[i][j] + 1);
                dp[i + 1][j + 1] = max(dp[i + 1][j + 1], dp[i + 1][j]);
                dp[i + 1][j + 1] = max(dp[i + 1][j + 1], dp[i][j + 1]);
            }
        }

        cout << dp[S.size()][T.size()] << endl;
        
    }

    return 0;
}

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

void fnInput(vector<string>& rvsStrX, vector<string>& rvsStrY)
{
  int nMaxSiz;
  cin >> nMaxSiz;
  rvsStrX.resize(nMaxSiz);
  rvsStrY.resize(nMaxSiz);

  for (int i = 0; i < nMaxSiz; ++i)
  {
    cin >> rvsStrX[i] >> rvsStrY[i];
    rvsStrX[i] = ' ' + rvsStrX[i];
    rvsStrY[i] = ' ' + rvsStrY[i];
  }
}

int fnLngCmnSubseq(const vector<string>& cnrvsStrX, const vector<string>& cnrvsStrY)
{
  vector<vector<int>> vvnLcsDP;
  for (int i = 0; i < cnrvsStrX.size(); ++i)
  {
    const int nMAXNX = cnrvsStrX[i].size();
    const int nMAXNY = cnrvsStrY[i].size();

//    vvnLcsDP.clear();
    vvnLcsDP.resize(nMAXNX, vector<int>(nMAXNY, 0));

    for (int nx = 1; nx < nMAXNX; ++nx)
      for (int ny = 1; ny < nMAXNY; ++ny)
        if (cnrvsStrX[i][nx] == cnrvsStrY[i][ny])
          vvnLcsDP[nx][ny] = vvnLcsDP[nx - 1][ny - 1] + 1;
        else
          vvnLcsDP[nx][ny] = max(vvnLcsDP[nx - 1][ny], vvnLcsDP[nx][ny - 1]);

    cout << vvnLcsDP[nMAXNX - 1][nMAXNY - 1] << endl;
  }
}

int main()
{
  cin.tie(0);
  ios::sync_with_stdio(false);
  vector<string> vsStrX, vsStrY;

  fnInput(vsStrX, vsStrY);
  fnLngCmnSubseq(vsStrX, vsStrY);
  return 0;
}

C++: #include <cstdint>
#include <string>
#include <utility>

using namespace std;

#define MAX_LEN 1001
static size_t memo[MAX_LEN][MAX_LEN];

size_t lcs(string &a, string &b)
{
  for (uint32_t i = 0; i <= a.size(); i++) {
    memo[i][0] = 0;
  }

  for (uint32_t i = 0; i <= b.size(); i++) {
    memo[0][i] = 0;
  }

  for (uint32_t i = 1; i <= a.size(); i++) {
    for (uint32_t j = 1; j <= b.size(); j++) {
      if (a[i - 1] == b[j - 1]) {
        memo[i][j] = memo[i - 1][j - 1] + 1;
      } else {
        memo[i][j] = max(memo[i - 1][j], memo[i][j - 1]);
      }
    }
  }

  return memo[a.size()][b.size()];
}

#include <iostream>

int32_t main()
{
  uint32_t num;
  cin >> num;

  for (uint32_t i = 0; i < num; i++) {
    string a, b;
    cin >> a;
    cin >> b;
    cout << lcs(a, b) << endl;
  }

  return 0;
}

C++: #include <iostream>
#include <algorithm>
#include <utility>
#include <vector>
#include <string>
#include <queue>
#include <tuple>
#include <cmath>
#include <map>
#include <bitset>
#define _overload3(_1,_2,_3,name,...) name
#define _rep(i,n) repi(i,0,n)
#define repi(i,a,b) for(ll i=ll(a);i<ll(b);++i)
#define rep(...) _overload3(__VA_ARGS__,repi,_rep,)(__VA_ARGS__)
#define all(x) (x).begin(),(x).end()
#define PRINT(V) cout << V << "\n"
#define SORT(V) sort((V).begin(),(V).end())
#define RSORT(V) sort((V).rbegin(), (V).rend())
using namespace std;
using ll = long long;
template<class T>bool chmax(T &a, const T &b) { if (a<b) { a=b; return 1; } return 0; }
template<class T>bool chmin(T &a, const T &b) { if (b<a) { a=b; return 1; } return 0; }
inline void Yes(bool condition){ if(condition) PRINT("Yes"); else PRINT("No"); }
template<class itr> void cins(itr first,itr last){
    for (auto i = first;i != last;i++){
        cin >> (*i);
    }
}
template<class itr> void array_output(itr start,itr goal){
    string ans = "";
    for (auto i = start;i != goal;i++) ans += to_string(*i)+" ";
    if (!ans.empty()) ans.pop_back();
    PRINT(ans);
}
constexpr const ll INF = 1e15;
constexpr const ll MOD = 1000000007;
constexpr const ll MAX = 15;
constexpr int nx[4] = {1,0,-1,0};
constexpr int ny[4] = {0,1,0,-1};
typedef pair<ll,ll> P;
ll LCA(string x,string y){
    ll a = x.length();
    ll b = y.length();
    vector<vector<ll>> dp(a+1,vector<ll>(b+1,0));
    rep(i,a){
        rep(j,b){
            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]);
        }
    }
    return dp[a][b];
}
int main(){
    cin.tie(0);
    ios::sync_with_stdio(false);
    ll q;
    cin >> q;
    rep(i,q){
        string x,y;
        cin >> x >> y;
        PRINT(LCA(x,y));
    }
}

C++: #include <bits/stdc++.h>
/*
#include <iostream>
#include <algorithm>
#include <vector>
#include <string>
#include <cstring>
#include <complex>
#include <stack>
#include <queue>
#include <unordered_map>
#include <map>
 */
#define INF 10e9
#define rep(i, a) for (int i = 0; i < (a); i++)
using namespace std;
 
int main() {
    int dp[1010][1010];

    int q;
    cin >> q;

    string x, y;

    int i, j, k;
    for(k = 0; k < q; k++){
        cin >> x >> y;
        dp[0][0] = 0;
        dp[0][1] = 0;
        dp[1][0] = 0;

        for(i = 1; i <= x.size(); i++){
            for(j = 1; j <= y.size(); j++){
                if(x[i-1] == y[j-1]){
                    dp[i][j] = dp[i-1][j-1] + 1;
                }else{
                    dp[i][j] = max(dp[i][j-1], dp[i-1][j]);
                }
            }
        }

        cout << dp[x.size()][y.size()] << endl;
    }
}

C++: #include <iostream>
#include <algorithm>
#include <string>
using namespace std;
int LCS(string X,string Y){
    int cnt=-1;
    int c[1001][1001];
    int m=X.size();
    int n=Y.size();
    X=' '+X;
    Y=' '+Y;
    for(int i=1;i<=m;i++){
        c[i][0]=0;
    }
    for(int j=0;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][j-1],c[i-1][j]);
            }
            cnt=max(cnt,c[i][j]);
        }
    }
    return cnt;
}
int main(){
    int n;
    string X,Y;
    cin>>n;
    for(int i=0;i<n;i++){
        cin>>X>>Y;
        cout<<LCS(X,Y)<<endl;
    }
    return 0;
}