Go: package main

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

var (
	nstr   func() string
	stdout *bufio.Writer
)

func init() {
	nstr = newReadString(os.Stdin)
	stdout = bufio.NewWriter(os.Stdout)
}

func main() {
	defer stdout.Flush()

	n := nint()
	xList := make([]string, n)
	yList := make([]string, n)

	for i:=0;i<n ;i++  {
		xList[i] = nstr()
		yList[i] = nstr()
	}

	for i := 0; i<n	; i++  {
		fmt.Println(lcs(xList[i], yList[i]))
	}

}

func lcs(x string, y string) int{
	var m = len(x)
	var n = len(y)

	c := make([][]int, m+1)
	for i:= range c{
		c[i] = make([]int, n+1)
	}
	for i:=	1;i<=m ;i++  {
		for 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] = int(math.Max(float64(c[i-1][j]), float64(c[i][j-1])))
			}


		}
	}
	return c[m][n]

}


func newReadString(ior io.Reader) func() string {
	r := bufio.NewScanner(ior)
	r.Buffer(make([]byte, 1024), int(1e+11))
	r.Split(bufio.ScanWords)

	return func() string {
		if !r.Scan() {
			panic("Scan failed")
		}
		return r.Text()
	}
}

func nint64() int64 {
	i, err := strconv.ParseInt(nstr(), 0, 64)
	if err != nil {
		panic(err.Error())
	}
	return i
}

func nint() int {
	return int(nint64())
}

func getIntSlice(n int) []int {
	b := make([]int, n)
	for i := 0; i < n; i++ {
		b[i] = nint()
	}
	return b
}

func getStringSlice(n int) []string {
	b := make([]string, n)
	for i := 0; i < n; i++ {
		b[i] = nstr()
	}
	return b
}

func gcd(x, y int) int {
	if y == 0 {
		return x
	}
	return gcd(y, x%y)
}

func lcm(x, y int) int {
	return x * y / gcd(x, y)
}

func contains(s []int, e int) bool {
	for _, a := range s {
		if a == e {
			return true
		}
	}
	return false
}

func bin(i int, prefix bool) string {
	i64 := int64(i)

	if prefix {
		return "0b" + strconv.FormatInt(i64, 2)
	} else {
		return strconv.FormatInt(i64, 2)
	}
}

func strReverse(s string) string {
	runes := []rune(s)
	for i, j := 0, len(runes)-1; i < j; i, j = i+1, j-1 {
		runes[i], runes[j] = runes[j], runes[i]
	}

	return string(runes)
}

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();
	}
}