Go: package main

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

func max(x, y int) int {
	if x < y {
		return y
	} else {
		return x
	}
}

/*********************************************************************
長さmの列X_(m)と長さnの列Y_(n)の最長共通部分列LCSは、
	(1)X[m] == Y[n]ならば、X_(m-1)とY_(n-1)のLCSにX[m]を繋げたもの
	(2)X[m] != Y[n]ならば、X_(m-1)とY_(n)のLCSもしくはX_(m)とY_(n-1)のLCS
	のいずれかのうち長い方

c[m+1][n+1]：c[i][j]にX_(i)とY_(j)のLCSの長さを格納する二次元配列
*********************************************************************/

func main() {
	scanner := bufio.NewScanner(os.Stdin)
	scanner.Scan()
	n, _ := strconv.Atoi(scanner.Text())
	for i := 0; i < n; i++ {
		scanner.Scan()
		s1 := scanner.Text()
		scanner.Scan()
		s2 := scanner.Text()
		s1, s2 = s1 + " ", s2 + " "
		c := make([][]int, len(s1))
		for i := range c {
			c[i] = make([]int, len(s2))
		}

		LCS := 0

		for i := 1; i < len(s1); i++ {
			for j := 1; j < len(s2); j++ {
				if s1[i] == s2[j] {
					c[i][j] = c[i-1][j-1] + 1
				} else {
					c[i][j] = max(c[i-1][j], c[i][j-1])
				}
				LCS = max(LCS, c[i][j])
			}
		}
		fmt.Println(LCS)
	}
}

C++: #include <bits/stdc++.h>
#define MOD 1000000007
#define INF 1<<30
#define rep(i,n) for(ll i=0; i<(n); i++)
#define REP(i,a,b) for(ll i=(a); i<(b); i++)
#define RREP(i,a,b) for(ll i=(a); i>=(b); i--)
#define all(x) (x).begin(),(x).end()
using namespace std;
typedef long long ll;
typedef vector<ll> vl;
typedef vector<vl> vvl;
typedef pair<ll, ll> p;
typedef vector<pair<ll, ll>> vpl;


int main(){
    ll q; cin >> q;
    ll dp[1005][1005];
    rep(i,q){
        string a,b; cin >> a >> b;
        ll m = a.size();
        ll n = b.size();
        a = ' ' + a;
        b = ' ' + b;
        rep(i,m+1) dp[i][0] = 0;
        rep(i,n+1) dp[0][i] = 0;
        REP(i,1,m+1){
            REP(j,1,n+1){
                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]);
                }
            }
        }
        cout << dp[m][n] << "\n";
    }
}

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

int lcs_number(string a1, string a2){
	
	int n;
	if (a1.size() <= a2.size())
		n = a1.size() + 1;
	else
		n = a2.size() + 1;

	vector <vector <int> > A(n, vector <int> (n));

	for (int i1=0; i1<n; i1++)
		for (int i2=0; i2<n; i2++)
			if (i1==0 || i2==0)
				A[i1][i2] = 0;

			else if (a1[i1-1] == a2[i2-1])
				A[i1][i2] = A[i1-1][i2-1] + 1;

			else if (A[i1-1][i2] > A[i1][i2-1])
				A[i1][i2] = A[i1-1][i2];

			else
				A[i1][i2] = A[i1][i2-1];

			return A[n-1][n-1];
}

int main(void){
	int n;
	string text1, text2;
	cin>>n;

	for (int i=0; i<n; i++){
		cin>>text1;
		cin>>text2;
		cout<<lcs_number(text1, text2)<<endl;
	}

	return 0;
}

C++: #include<bits/stdc++.h>

using namespace std;


int main() {
    int q;
    cin >> q;

    vector<string> X(q), Y(q);
    int X_size, Y_size;

    vector<int> tmp(3, 0);

    for(int i = 0; i < q; i++) {
        cin >> X[i];
        cin >> Y[i];
    }

    for(int k = 0; k < q; k++) {
        X_size = X[k].size();
        Y_size = Y[k].size();

        // Xのi文字目までとTのj文字目までのLCSの長さdp[i][j]
        vector<vector<int> > dp(X_size+1, vector<int>(Y_size+1, 0));

        // 初期条件
        dp[1][0] = 0, dp[0][1] = 0;

        // dp開始
        for(int i = 1; i <= X_size; i++) {
            for(int j = 1; j <= Y_size; j++) {
                if(X[k][i-1] == Y[k][j-1]) {
                    tmp = {};
                    tmp.push_back(dp[i-1][j-1] + 1);
                    tmp.push_back(dp[i-1][j]);
                    tmp.push_back(dp[i][j-1]);
                    sort(tmp.begin(), tmp.end());
                    dp[i][j] = tmp.back();
                    // dp[i][j] = max({dp[i-1][j-1] + 1, dp[i-1][j], dp[i][j-1]});
                } else {
                    dp[i][j] = max(dp[i-1][j], dp[i][j-1]);
                }
            }
        }

        cout << dp[X_size][Y_size] << endl;
    }

	return 0;
}

C++: #include <bits/stdc++.h>

using namespace std;

using ll = long long;

// Longest Common Subsequence between X=x_1...x_m and Y=y_1...y_n
// O(mn)
// ALDS_1_10_C: verified
int main(){
    ll Q; cin >> Q;
    for(ll q=0;q<Q;q++){
        string X, Y; cin >> X >> Y;
        ll m = X.size(), n = Y.size();
        vector<vector<ll> > dp(m + 1, vector<ll>(n + 1));
        for(ll i=1;i<=m;i++){
            for(ll j=1;j<=n;j++){
                if(X[i-1] == Y[j-1]){
                    dp[i][j] = max(max(dp[i][j-1], dp[i-1][j]), dp[i-1][j-1] + 1);
                }else{
                    dp[i][j] = max(dp[i][j-1], dp[i-1][j]);
                }
            }
        }
        cout << dp[m][n] << endl;
    }
}

C++: #include <iostream>
#include <cstdio>
#include <algorithm>
#include <cmath>
#include <climits>
#include <string>
#include <vector>
#include <utility>
#include <functional>
#include <stack>
#include <queue>
#include <map>
#include <set>
#include <cassert>

using namespace std;

typedef long long ll;
typedef pair<int, int> P;

#define REP(i, n) for (ll i = 0; i < n; i++)
#define REPR(i, n) for (ll i = n; i >= 0; i--)
#define FOR(i, m, n) for (ll i = m; i < n; i++)

int dp[1001][1001];

int main() {
    int q;
    cin >> q;
    REP(i, q) {
        string s, t;
        cin >> s >> t;
        REP(i, s.size() + 1) REP(j, t.size() + 1) dp[i][j] = 0;
        REP(i, s.size()) {
            REP(j, t.size()) {
                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] = dp[i + 1][j];
                dp[i + 1][j + 1] = dp[i][j + 1];
            }
        }
        cout << dp[s.size()][t.size()] << endl;
    }
    return 0;
}

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

using namespace std;

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

int main(){
  int n; cin >> n;
  for(int i=0;i<n;i++){
    string x,y;
    cin >> x >> y;
    cout << lcs(x,y) << endl;
  }
}

C++: #include<stdio.h>

int strlen(char s[]) {
  int w = 0;
  while (1) {
    if (s[w] == '\0')
      break;
    w++;
  }
  return w;
}

int max(int a, int b, int c){
  int m = a;
  if (m < b)
    m = b;
  if (m < c)
    m = c;
  return m;
}

int main(void){
  int q, xl = 0, yl = 0, h = 0, i = 0, j = 0;
  int d, ans = 0;
  int DP[1001][1001];
  char X[1001], Y[1001];

  for (i = 0; i < 1001; i++) {
    DP[i][0] = 0;
  }
  for (i = 0; i < 1001; i++) {
    DP[0][i] = 0;
  }

  scanf("%d", &q);
  for (h = 0; h < q; h++) {

    scanf("%s", X);
    scanf("%s", Y);
    xl = strlen(X);
    yl = strlen(Y);

    for (i = 1; i <= xl; i++) {
       for (j = 1; j <= yl; j++) {
        if (X[i-1] == Y[j-1])
          d = 1;
        else
          d = 0;
        DP[i][j] = max(DP[i-1][j-1], DP[i-1][j], DP[i-1][j]) + d;
        if(DP[i][j] > ans)
          ans = DP[i][j];
      }
    }
    printf("%d\n", ans);
    ans = 0;
  }
  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 = 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 << lcs(s1, s2) << endl;
  }
  return 0;
}