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 <algorithm>
#include<string.h>
using namespace std;
int LCS(char *x,char *y);
char x[1001], y[1001];
int lcs[1001][1001];
int main()
{
	int q,i,j;

	cin >> q;
	for (i = 0; i < q; i++) {
		cin >> x;
		cin >> y;
		cout << LCS(x, y) << endl;
	}
}

int LCS(char *x, char *y)
{
	int i, j;
	int len_x, len_y;
	len_x = strlen(x);
	len_y = strlen(y);
	
	for (i = 0; i < len_x; i++) {
		if (x[0] == y[i]) {
			lcs[0][i] = 1;
		}
		else {
			lcs[0][i] = 0;
		}
	}
	for (i = 0; i < len_x; i++) {
		if (x[i] == y[0]) {
			lcs[i][0] = 1;
		}
		else {
			lcs[i][0] = 0;
		}
	}

	for (i = 0; i < len_x; i++) {
		for (j = 0; j < len_y; j++) {
			if (x[i] == y[j]) {
				lcs[i][j] = lcs[i - 1][j - 1] + 1;
				//printf("lcs[%d][%d]=%d\n", i, j, lcs[i - 1][j - 1] + 1);
			}
			if (x[i] != y[j]) {
				lcs[i][j] = max(lcs[i - 1][j], lcs[i][j - 1]);
				//printf("lcs[%d][%d]=%d\n", i, j, max(lcs[i - 1][j], lcs[i][j - 1]));
			}
		}
	}
	//cout << endl;

	for (i = 0; i < len_x; i++) {
		for (j = 0; j < len_y; j++) {
			//printf("%d ", lcs[i][j]);
		}
		//cout << endl;
	}
	//cout << "len_x=" << len_x << endl << "len_y=" << len_y << endl;
			
	return lcs[len_x-1][len_y-1];
}

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

using namespace std;

#define debug(x) cout << #x << "==" << x << endl;

const int inf = 100000000;

typedef long long ll;


int lcs(string s, string t, int si, int ti, vector< vector<int> > memo) {
  
  if( si == -1 || ti == -1 ) {
    return 0;
  }
  if(memo[si][ti] != -1) {
    return memo[si][ti];
  }

  int res = 0;

  if( s[si] == t[ti] ) {
    res = lcs(s, t, si-1, ti-1, memo) + 1;
  } else {
    res = max( lcs(s, t, si-1, ti, memo), lcs(s, t, si, ti-1, memo) );
  }

  return memo[si][ti] = res;

}

int solve() {

  string s, t;
  cin >> s >> t;

  vector< vector<int> > memo( 1001,  vector<int>(1001, -1) );
  return lcs(s, t, s.size()-1, t.size()-1, memo );


  // dp[i][j] := s_1,...s_i と t_1,...t_j に対するLCSの長さ
  // s[i] == t[j] なら dp[i-1][j-1] + 1
  // s[i] != t[j] なら max( dp[i-1][j], dp[i][j-1] )
  // int dp[s.size()+1][t.size()+1];
  // fill(dp[0], dp[s.size()+1], 0);
  // 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][j+1], dp[i+1][j]);
  //     }
  //   }
  // }

  // return dp[s.size()][t.size()];



}


int main() {
  ios::sync_with_stdio(false);

  int N;
  cin >> N;

  for(int i = 0; i < N; i++) {
    cout << solve() << "\n";
  }


  return 0;
}

C++: #include<iostream>
#include<string>
#include<algorithm>
#define MAX 1000
using namespace std;

int LCS(string X, string Y) {
    int i, j, maxl;
    int C[MAX+1][MAX+1];

    cin >> X >> Y;
    size_t X_len = X.length();
    size_t Y_len = Y.length();

    for (i=0; i<=X_len; i++) {
        for (j=0; j<=Y_len; j++) {
            if (i==0 || j==0) C[i][j]=0;
            else {
                if (X[i]==Y[j]) {
                    C[i][j]=C[i-1][j-1]+1;
                    maxl = max(C[i][j], maxl);
                } else C[i][j]=max(C[i-1][j], C[i][j]);
            }
        }
    }

    return maxl;
}

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

    return 0;
}

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

int solve(std::string s,std::string t){
        int dp[MAX_N][MAX_N];
        memset(dp,0,sizeof(dp));
        int n,m;
        n=s.size(),m=t.size();
        for(int i=0;i<n;i++){
                for(int j=0;j<m;j++){
                        if(s[i]==t[j])
                                dp[i+1][j+1]=dp[i][j]+1;
                        else
                                dp[i+1][j+1]=std::max(dp[i][j+1],dp[i+1][j\
]);
                }
        }
        return dp[n][m];
}

int main(){
        int q;
        std::cin>>q;
        for(int i=0;i<q;i++){
                std::string s,t;
                std::cin >> s>>t;
                printf("%d\n",solve(s,t));
        }
        return 0;
}

C++: #include <cstdio>
#include <cstring>
#include <cstdlib>
#include <cmath>
#include <iostream>
#include <string>
#include <algorithm>
#include <vector>
#include <map>
#include <queue>
#include <utility>
using namespace std;
//_____
#define pb push_back
#define fi first
#define se second
#define mkp make_pair
#define ALL(x) x.begin(),x.end()
#define rep(i,n) for(int i=0; i<(n); ++i)
#define reps(i,f,n) for(int i=(f); i<=(n); ++i)
#define err(...) fprintf(stderr, __VA_ARGS__)
#define show(x) cerr << #x << ':' << x << endl
#define outl(x) cout << (x) << '\n'
#define FAST() cin.tie(0), ios::sync_with_stdio(false)
typedef long long ll;
typedef pair<int,int> pii;
template<class A, class B>inline bool chmax(A &a, B b){return b>a ? a=b,1 : 0;}
template<class A, class B>inline bool chmin(A &a, B b){return b<a ? a=b,1 : 0;}
inline bool inside(int y, int x, int H, int W){return(y>=0 && x>=0 && y<H && x<W);}
const int INF = 1 << 29;
const int dx[] = {1, 0, -1, 0,  1, 1, -1, -1};
const int dy[] = {0, 1, 0, -1,  -1, 1, 1, -1};
#define LEN 1000011
#define NIL -1
//_______


int slv(string &a, string &b)
{
   const int alen = a.size();
   const int blen = b.size();
   int dp[alen+1][blen+1] = {};
   a = ' ' + a;
   b = ' ' + b;
   int ret = 0;
   //reps(i, 0, alen)dp[0][i] = 0;
   //reps(i, 0, blen)dp[i][0] = 0;

   reps(i, 1, alen){
      reps(j, 1, blen){
         if(a[i] == b[j]){
            dp[i][j] = dp[i-1][j-1] + 1;
         } else {
            dp[i][j] = max(dp[i-1][j] , dp[i][j-1] );
         }
         chmax(ret, dp[i][j]);
      }
   }
   return(ret);
}

signed main()
{
   FAST();
   int N;
   cin >> N;
   rep(i, N){
      string a,b;
      cin >> a >> b;
      outl( slv(a, b) );
   }
}

C++: #include <iostream>
#include <iomanip>
#include <string>
#include <vector>
#include <algorithm>
#include <numeric>
#include <map>
#include <set>
#include <queue>
#include <stack>
#include <cstdio>
#include <cstring>
#include <cmath>
#include <bitset>
#include <climits>
#define REP(i,n) for (int i=0;i<(n);i++)
#define FOR(i,a,b) for (int i=(a);i<(b);i++)
#define RREP(i,n) for (int i=(n)-1;i>=0;i--)
#define RFOR(i,a,b) for (int i=(a)-1;i>=(b);i--)
#define ll long long
#define ull unsigned long long
int dx[4] = {1, 0, -1, 0};
int dy[4] = {0, 1, 0, -1};
const int INF = 1e9;
const int MOD = 1e9 + 7;

using namespace std;
int dp[1002][1002];
int main(){
  cin.tie(0);
  ios::sync_with_stdio(false);
	int n;
	cin>>n;
	string s1,s2;
	while(n--){
		cin>>s1>>s2;
		REP(i,s1.size())dp[i][0] = 0;
		REP(i,s2.size())dp[0][i] = 0;
		FOR(i,1,s1.size()+1){
			FOR(j,1,s2.size()+1){
				if(s1[i] == s2[j])dp[i][j] = dp[i-1][j-1]+1;
				else dp[i][j] = max(dp[i-1][j],dp[i][j-1]);
			}
		}
		cout << dp[s1.size()][s2.size()] << endl;
	}
  return 0;
}