Go: package main

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

// define
var (
	sc = bufio.NewScanner(os.Stdin)
)

func bordersInt(in_map [][]int, invalid int) [][]int{
	H, W := len(in_map), len(in_map[0])
	out_map := make([][]int, H+2)
	for h:=0; h<H+2; h++ {
		out_map[h] = make([]int, W+2)
		for w:=0; w<W+2; w++ {
			out_map[h][w] = invalid
		}
	}
	for h:=0; h<H; h++{
		for w:=0; w<W; w++{
			out_map[h+1][w+1] = in_map[h][w] 
		}
	}
	return out_map
}

func bordersString(in_map [][]string, invalid string) [][]string{
	H, W := len(in_map), len(in_map[0])
	out_map := make([][]string, H+2)
	for h:=0; h<H+2; h++ {
		out_map[h] = make([]string, W+2)
		for w:=0; w<W+2; w++ {
			out_map[h][w] = invalid
		}
	}
	for h:=0; h<H; h++{
		for w:=0; w<W; w++{
			out_map[h+1][w+1] = in_map[h][w] 
		}
	}
	return out_map
}

func scanIntLine(len int) []int{
	arr := make([]int, len)
	for i:=0; i<len; i++{
		sc.Scan()
		tmp, err := strconv.Atoi(sc.Text())
		if err == nil{
			arr[i] = tmp
		}
	}
	return arr
}

func scanStringLine(len int) []string{
	arr := make([]string, len)
	for i:=0; i<len; i++{
		sc.Scan()
		arr[i] = sc.Text()
	}
	return arr
}

func scanIntSplit(len int) []int{
	arr := make([]int, len)
	sc.Scan()
	for i, v := range strings.Split(sc.Text(), " "){
		tmp, err := strconv.Atoi(v)
		if err == nil{
			arr[i] = tmp
		}
	}
	return arr
}

func maxInt(args... int) int{
	sort.Ints(args)
	return args[len(args)-1]
}

func main(){
	var n int 
	fmt.Scan(&n)
	dp := make([][]int, 1003)
	for i:=0; i<1003; i++ {
		dp[i] = make([]int, 1003)
	}
	input_lines := scanStringLine(2*n)
	for i:=0; i<n; i++ {
		S, T := input_lines[2*i], input_lines[2*i+1]
		lenS, lenT := len(S), len(T)
		for i:=1; i<lenS+1; i++ {
			for j:=1; j<lenT+1; j++ {
				if S[i-1] == T[j-1] {
					dp[i][j] = maxInt(dp[i-1][j-1]+1, dp[i-1][j], dp[i][j-1])
				} else {
					dp[i][j] = maxInt(dp[i-1][j], dp[i][j-1])
				}
			}
		}
		fmt.Println(dp[lenS][lenT])
	}
}

C++: #include<bits/stdc++.h>
using namespace std;
#define int long long
struct node{
  int value;
  node *next;
  node(int value,node *next):value(value),next(next){}
};
int INF=1LL<<55LL;
string lcs(string x,string y){
  int n=x.size(),m=y.size();
  map<char,vector<int> > M;
  for(int j=m-1;j>=0;j--) M[y[j]].push_back(j);
  vector<int> xs(n+1,INF);
  xs[0]=-INF;
  vector<node* > link(n+1);
  for(int i=0;i<n;i++){
    if(M.count(x[i])){
      vector<int> ys=M[x[i]];
      for(int j=0;j<(int)ys.size();j++){
	int k=distance(xs.begin(),lower_bound(xs.begin(),xs.end(),ys[j]));
	xs[k]=ys[j];
	link[k]=new node(y[ys[j]],link[k-1]);
      }
    }
  }
  string res;
  int l=distance(xs.begin(),lower_bound(xs.begin(),xs.end(),INF-1))-1;
  for(node *p=link[l];p!=NULL;p=p->next)
    res.push_back(p->value);
  return res;
}
signed main(){
  int q;
  cin>>q;
  while(q--){
    string x,y;
    cin>>x>>y;
    cout<<lcs(x,y).size()<<endl;
  }
  return 0;
}

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



int lcs(string x, string y){

  int m = x.length();
  int n = y.length();

  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 if(c[i - 1][j] > c[i][j - 1]){
        c[i][j] = c[i - 1][j];
      }
      else{
        c[i][j] = c[i][j - 1];
      }
      cout << "c" << i << j << c[i][j] << endl;
    }

  }

  return c[m][n];
}

int main(){

  int q;

  string x, y;

  cin >> q;

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



  return 0;
}

C++: #include<math.h>
#include<limits.h>
#include<iostream>
#include<string>
#include<vector>
#include<stdio.h>
#include<sstream>
#include<list>
#include<queue>
#include<algorithm>
#include<functional>
#include<map>
#include<set>
//#include<utility>
//#include<initializer_list>
//#include<tuple>
//#include<regex>
using namespace std;
#define ull unsigned long long
#define ll long long
#define rep(i, n) for(int i=0;i<(int)(n);i++)
#define all(t) t.begin(), t.end()
bool isSubstring(string substr, string t) {
	int n = substr.length();
	int seek = 0;
	rep(i, n) {
		bool ex = 0;
		for (int j = seek; j < t.length(); j++) {
			if (substr[i] == t[j]) {
				ex = 1;
				seek = j + 1;
				break;
			}
		}
		if (ex) {
			continue;
		}
		else {
			return false;
		}
	}
	return true;

}

int LongestCommonSubstring(string s, string t) {
	// Wrong plan
	vector<int>dp(s.length(), 0);
	int n = s.length();
	string lcs = "";
	if (isSubstring(s.substr(n - 1, n), t)) {

		dp[n - 1] = 1;
		lcs = s[n - 1];
	}
	for (int i = n - 2; i >= 0; i--) {
		//string substr = s.substr(i, n);
		string substr = s[i] + lcs;
		int issubst = isSubstring(substr, t);
		if (issubst) lcs = substr;
		dp[i] = dp[i + 1] + issubst;
	}
	return dp[0];
}
int LongestCommonSubstring2(string s, string t) {
	vector<vector<int>> dp(s.length(), vector<int>(t.length(), 0));
	int n = s.length();
	int m = t.length();
	rep(i, n - 1) {
		rep(j, m - 1) {
			dp[i + 1][m + 1] = s[i] == t[j] ? dp[i][j] + 1 : max(dp[i][j - 1], dp[i + 1][j]);
		}
	}
	return dp[n - 1][m - 1];
}
int main() {
	//cout << isSubstring("abc", "abcde") << endl;
	//cout << isSubstring("bd", "abcde") << endl;
	//cout << isSubstring("db", "abcde") << endl;

	//cout << LongestCommonSubstring("bacd", "becd") << endl;
	//cout << LongestCommonSubstring("abcd", "becd") << endl;
	//cout << endl;
	//cout << LongestCommonSubstring("a", "a") << endl;
	//cout << LongestCommonSubstring("bbb", "bbb") << endl;
	//cout << LongestCommonSubstring("aba", "bbaba") << endl;
	//cout << LongestCommonSubstring("abababbbaa", "bbabaabba") << endl;
	//cout << LongestCommonSubstring("a", "aaaaa") << endl;
	//cout << LongestCommonSubstring("aizojfeiz", "aaaizojifeizz") << endl;
	//cout << LongestCommonSubstring("zzyiioxizu", "zzsyoizuo") << endl;
	//cout << LongestCommonSubstring("iooooioiooiio", "ooiiioioiooooiioio") << endl;
	//cout << LongestCommonSubstring("ajfoaooieellzljieoaelj", "ajoiiffoaolliseellzljieoaelj") << endl;
	//cout << LongestCommonSubstring("zzzzzyyzyy", "zzyyyyz") << endl;
	//cout << LongestCommonSubstring("abcdef", "fedcba") << endl;
	//cout << LongestCommonSubstring("abc", "xyz") << endl;
	int q;
	cin >> q;
	vector<string> s(q);
	vector<string> t(q);
	rep(i, q) {
		cin >> s[i] >> t[i];
	}
	rep(i, q) {
		cout << LongestCommonSubstring2(s[i], t[i]) << endl;
	}

	return 0;
}

C++: #include <iostream>

using namespace std;

/**
 *  lcs(m,n) = 
 *  if x[m] == y[n] lcs[m-1,n-1]+1
 *  max(lcs[m-1,n],lcs[m,n-1])
 *
 */

string x, y;

const int q = 150;

int c[q][q];

int lcs(int m, int n)
{
	if (m == -1 || n== -1) return 0;
	if (x[m] == y[n]) return lcs(m-1,n-1) + 1;
	int & cc = c[m][n];
	if (cc != -1) return cc;
	int xx = lcs(m-1,n);
	int yy = lcs(m,n-1);
	cc = xx > yy ? xx : yy;
	return cc;
}

int main()
{
	int n = 0;
	x.resize(q);
	y.resize(q);
	memset(c, -1, sizeof(c));
	cin >> n; 
	for (int i=0;i<n;i++)
	{
		cin >> x;
		cin >> y;
		cout << lcs(x.size()-1, y.size()-1) << endl;
		x.clear();
		y.clear();
	}
}

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

using namespace std;
static const int N = 1000;


int lcs(string X, string Y) {
	int m = X.size();
	int n = Y.size();
	int c[N + 1][N + 1];
	for ( int i = 1; i <= m; ++i ) c[i][0] = 0;
    for ( int i = 1; i <= n; ++i ) c[0][i] = 0;
    int max1=0;
    X = ' ' + X;
    Y = ' ' + Y;
    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]);
    		}
    		max1 = max (max1, c[i][j]);
    	}
	return max1;

}
int main() {

	int n;
    string X, Y;

    cin >> n;
    while ( n-- ) {
    	cin >> X >> Y;
    	cout << lcs(X, Y) << endl;
    }
	return 0;
}