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<iostream>
#include<vector>
#include<string>
#include<algorithm>
#include<climits>
#include<numeric>
#include<cmath>
#include<cstring>
#define REP(i, n) for(int i = 0;i < n;i++)
#define REPR(i, n) for(int i = n;i >= 0;i--)
#define FOR(i, m, n) for(int i = m;i < n;i++)
#define FORR(i, m, n) for(int i = m;i >= n;i--)
#define VSORT(v) sort(v.begin(), v.end());
#define VE vector<int>
#define VEP vector<pair<int,int>>
#define llong long long
#define pb(a) push_back(a)
using namespace std;
int dp[1000+1][1000+1];
int lim;
//int cost_vec[/*num*/];
//int val_vec[/*num*/];
int main() {
	int num;
	cin >> num;
	vector<string> vec(2*num);
	REP(i, num) {
		cin >> vec[2 * i];
		cin >> vec[2 * i + 1];
	}
	REP(i, num) {
		memset(dp, 0, sizeof(dp));
		REP(k, vec[i * 2].size()) {
			REP(n, vec[i * 2+1].size()) {
				if (vec[i * 2][k] == vec[i * 2 + 1][n]) {
					dp[k + 1][n + 1] = dp[k][n] + 1;
				}
				else {
					dp[k + 1][n + 1] = max(dp[k][n + 1], dp[k + 1][n]);
				}
			}
		}
		cout << dp[vec[i * 2].size()][vec[i * 2+1].size()] << endl;
	}
	return 0;
}

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

#define int long long
#define double long double

#define REP(i, b) for(int i = 0; i < (b); i++)
#define REPS(i, b) for(int i = 1; i <= (b); i++)
#define ALL(v) (v).begin(), (v).end()

#define fi first
#define se second
#define pb push_back
#define mp make_pair

using namespace std;

using pi = pair<int, int>;
using vi = vector<int>;
using vd = vector<double>;
using vs = vector<string>;
using vb = vector<bool>;
using vpi = vector<pi>;
using vvi = vector<vi>;
using vvb = vector<vb>;

const int INF = 1e16;
const int MOD = 1e9+7;

template<class T> inline bool chmax(T& a, T b) { if (a < b) { a = b; return true; } return false; }
template<class T> inline bool chmin(T& a, T b) { if (a > b) { a = b; return true; } return false; }


signed main()
{
    cin.tie(nullptr);
    ios_base::sync_with_stdio(false);
    cout << fixed << setprecision(10);

    int q; cin >> q;
    REP(i, q)
    {
        string a, b; cin >> a >> b;
        vvi dp(a.length()+1, vi(b.length()+1));
        REP(j, a.length())
        {
            REP(k, b.length())
            {
                if(a[j] == b[k]) dp[j+1][k+1] = dp[j][k]+1;
                chmax(dp[j+1][k+1], dp[j][k+1]);
                chmax(dp[j+1][k+1], dp[j+1][k]);
            }
        }
        cout << dp[a.length()][b.length()] << endl;
    }
}

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

int table[150][150];
int l1, l2;

int checkLCS(string s1, string s2){
	table[150][150] = {};
	

	for (int i = 1; i <= l1 - 1;i++) {
		for (int j = 1; j <= l2 - 1;j++) {
			table[i][j] = max(max(table[i-1][j],table[i][j-1]), (s1[i]==s2[j])+table[i-1][j-1]);
		}
	}


	return table[l1-1][l2-1] + 1;
	
}



int main(void) {
	
	int q;
	string s1, s2;

	cin >> q;

	for (int i = 0;i <= q - 1;i++) {
		cin >> s1 >> s2;
		l1 = s1.length();
		l2 = s2.length();

		cout << checkLCS(s1, s2) << endl;
	}

	return 0;
}

C++: #include <bits/stdc++.h>
#include <iomanip>
#include <math.h>
//#include <unistd.h>
//#include <stdio.h>
#define rep(i,x) for(ll i = 0;i<x;i++)
#define all(a) (a).begin(),(a).end()
using ll = long long;
using ld = long double;
using namespace std;
using dou = double;
const ll inf = 2147483647;
const ll INF = 1LL << 60;
const ll mod = 1000000007;
const ld pi = 3.14159265358;
typedef pair<ll,ll> P;
using graph = vector<vector<ll>>;
template<class T> inline bool chmax(T& a, T b){if(a < b){a = b; return true;}return false;}
template<class T> inline bool chmin(T& a, T b){if(a > b){a = b; return true;}return false;}
ll gcd(ll a,ll b){
    if(a < b)swap(a,b);
    if(a % b == 0)return b;
    else return gcd(b,a%b);
}
//素数判定O(sqrt(N))
bool isp(ll n){
    bool res = true;
    if(n == 1)return false;
    else{
        for(ll i = 2;i * i <= n;i++){
            if(n % i == 0){
                res = false;
                break;
            }
        }
        return res;
    }
}

ll fac[510000], finv[510000], inv[510000];

// テーブルを作る前処理
void COMinit() {
    fac[0] = fac[1] = 1;
    finv[0] = finv[1] = 1;
    inv[1] = 1;
    for (ll i = 2; i < 510000; i++){
        fac[i] = fac[i - 1] * i % mod;
        inv[i] = mod - inv[mod%i] * (mod / i) % mod;
        finv[i] = finv[i - 1] * inv[i] % mod;
    }
}

// 二項係数計算
ll COM(ll n, ll k){
    if (n < k) return 0;
    if (n < 0 || k < 0) return 0;
    return fac[n] * (finv[k] * finv[n - k] % mod) % mod;
}
//nのm乗をMODで割ったあまりO(logN)
ll modpow(ll n,ll m,ll MOD){
    ll res = 1;
    while(m){
        if(m & 1)res = (res * n) % MOD;
        m >>= 1;
        n *= n;
        n %= MOD;
    }
    return res;
}

//printf("%.10f\n", N);
/*  vector<ll> vec = {1,2,5,6,8,9,10};
    cout << binary_search(all(vec),5) << endl; -> true*/
/*
    vector<ll> vec = {1,2,5,6,8,9,10};
    auto n = upper_bound(all(vec),4);
    cout << *n << endl; -> 5*/

//    cout << fixed << setprecision(15);

int main(){
    ios::sync_with_stdio(false);
    cin.tie(0);
    ll Q;
    cin >> Q;
    rep(i,Q){
        string S,T;
        cin >> S >> T;
        ll s = S.size(),t = T.size();
        vector<vector<ll>> memo(s + 1,vector<ll>(t + 1));
        rep(i,s){
            rep(j,t){
               if(S[i] == T[j]){
                   memo[i + 1][j + 1] = max(max(memo[i][j + 1],memo[i + 1][j]),memo[i][j] + 1);
                }
                else{
                    memo[i + 1][j + 1] = max(memo[i + 1][j],memo[i][j + 1]);
                }
            }
        }
        cout << memo[s][t] << endl;
    }
}

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;
}

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

int dp[1001][1001];

int main() {
	int n;
	cin >> n;
	for (int k = 0; k < n; k++ ) {
		string a, b;
		cin >> a >> b;
		for (int i = 0; i < a.size(); i++) {
			for (int j = 0; j < b.size(); j++ ) {
				if (a[i] == b[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]);
				}
			}
		}
		cout << dp[a.size()][b.size()] << endl;;
	}
	return 0;
}