Go: package main

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

type Position struct {
	X int
	Y int
}

func main() {
	sc := bufio.NewScanner(os.Stdin)
	sc.Split(bufio.ScanWords)
	n, err := nextInt(sc)
	if err != nil {
		panic(err)
	}
	for i := 0; i < n; i++ {
		strX := nextText(sc)
		strY := nextText(sc)
		fmt.Println(calcLcs(strX, strY))
	}
}

func calcLcs(strX, strY string) int {
	return lcs(strX, strY, Position{0, 0}, make(map[Position]int))
}

func lcs(strX string, strY string, position Position, memo map[Position]int) int {
	if position.X >= len(strX) || position.Y >= len(strY) {
		return 0
	}
	if v, ok := memo[position]; ok {
		return v
	}
	if strX[position.X] == strY[position.Y] {
		result := lcs(strX, strY, Position{position.X + 1, position.Y + 1}, memo)
		memo[position] = result + 1
		return memo[position]
	} else {
		result1 := lcs(strX, strY, Position{position.X + 1, position.Y}, memo)
		result2 := lcs(strX, strY, Position{position.X, position.Y + 1}, memo)
		var result int
		if result1 > result2 {
			result = result1
		} else {
			result = result2
		}
		memo[position] = result
		return result
	}
}

func nextInt(sc *bufio.Scanner) (int, error) {
	sc.Scan()
	return strconv.Atoi(sc.Text())
}

func nextText(sc *bufio.Scanner) string {
	sc.Scan()
	return sc.Text()
}

C++: #include <bits/stdc++.h>
#include <algorithm>
#include <cmath>
#include <set>
#include <cstdio>
#include <vector>
#include <iostream>
#include <utility>
#include <queue>
#include <map>

#define fir first
#define sec second
#define sz(s) (s).size()
#define pb push_back
#define get(n) scanf("%d",&n);
#define gets(s) string s;cin >> (s);
#define prfi(n) printf("%d", &n);
#define prfd(n) printf("%lf", &n);
#define All(s) (s).begin(), (s).end()
#define rep(i,j) for(int (i)=0;(i)<(j);(i)++)
#define For(i,j,k) for(int (i)=(j);(i)<(k);(i)++)
#define drep(i,j) for(int (i)=(j);(i)>=0;(i)--)
#define Ford(i,j,k) for(int (i)=(j);i>=(k);i--)
#define vfor(c,v) for(auto (c): (v))
#define lpi(n) for(int i=0;i<(n);i++)
#define lpj(n) for(int j=0;j<(n);j++)
#define lpz(n) for(int z=0;z<(n);z++)
#define mem(a,b) memset(a,b,sizeof(a));
#define dump(x)  std::cout << #x << " = " << (x) << std::endl;
#define debug(x) cout << #x << " = " << (x) << " (L" << __LINE__ << ")" << " " << __FILE__ << endl;
using ll = long long;
using ld = long double;
using pii = std::pair<int,int>;
using pll = std::pair<ll, ll>;
using vi = std::vector<int> ;
using vvi = std::vector<vi> ;
using vll = std::vector<ll>;
using vvll = std::vector<vll>;
using vd = std::vector<double> ;
using vvd = std::vector<vd> ;
using qi = std::queue<int> ;
using vpii = std::vector<std::pair<int, int> >;
using vpll = std::vector<pll>;
using namespace std;

const int Mod = (1e9) + 7;
const int INF = 1e9 + 19;
const ll INFL = 1e18 + 19;
const int dx[] = {-1, 0, 0, 1};
const int dy[] = {0, -1, 1, 0};
const int dx2[] = {-1, -1, -1, 0, 0, 0, 1, 1, 1};
const int dy2[] = {1, 0, -1, 1, 0, -1, 1, 0, -1};
//_____________________________________Templates_________________________________________//

template<class T1, class T2> inline void chmin(T1 &a, T2 b){if(a > b) a = b;}
template<class T1, class T2> inline void chmax(T1 &a, T2 b){if(a < b) a = b;}
template<class T> inline void swap(T &a,T &b){T c = a;a = b;b = c;}
template<class T> inline void pri(T a){cout << a << endl;}
template<class Z> using vec = vector<Z>;
//mainly use for dynamic prog
template<class T1, class T2>
void update(T1 &a, T2 b){
  a += b;
  if(a > Mod) a %= Mod;
}

inline void IN(void){
  return;
}

template <typename First, typename... Rest>
void IN(First& first, Rest&... rest){
  cin >> first;
  IN(rest...);
  return;
}

inline void OUT(void){
  cout << "\n";
  return;
}

template <typename First, typename... Rest>
void OUT(First first, Rest... rest){
  cout << first << " ";
  OUT(rest...);
  return;
}

bool pairsort(pll pl, pll pr){
  if(pl.first == pr.first)return pl.second > pr.second;
  return pl.first < pr.first;
}

int cntbit(ll a,int n,int j){int res = 0;For(i,j,n){if(a>>i & 1){res++;}}return res;}
vector<int> make_bit(int a){vector<int> res; lpi(32)if(a&(1<<i))res.pb(i);return res;}
bool stdbit(int a, int b){return a&(1 << b); }
int GCD(int a, int b){if(b > a)return GCD(b,a);if(a%b == 0)return b;else return GCD(b, a%b);}
int LCM(int a, int b){return a*b/GCD(a,b);}
int roundup(int a, int b){if(a % b == 0)return a/b;else return (a+b)/b;}
int rounddown(int a, int b){if(a%b == 0)return a/b;else {return (a-b)/b;}}


//_____________________　following sorce code_________________________//
const int max_n = 3 * (1e5) + 1;
const int max_m = 83 * (1e5) + 1;

int n,m,k;
int h,w;
vvi dp;
string S;
int a,b,c;
vi v;

string LCS(string S,string T)
{
  int n = S.size(), m = T.size();
  vvi dp(n+2,vi(m+2));
  lpi(n)lpj(m)
  {
    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]);
    }
  }
  int idx1 = n, idx2 = m;
  string res = {};
  while(dp[idx1][idx2] != 0)
  {
    while(dp[idx1][idx2] == dp[idx1-1][idx2])idx1--;
    while(dp[idx1][idx2] == dp[idx1][idx2-1])idx2--;
    res.pb(S[idx1-1]);
    idx1--;idx2--;
  }
  reverse(All(res));
  return res;
}

int main () {
  cin.tie(0);
  ios::sync_with_stdio(false);
  IN(n);
  lpi(n){
    string s,t;
    IN(s,t);
    string a = LCS(s,t);
    int ans = sz(a);
    cout << ans << endl;
  }
  //cout << ans << endl;
  //for(auto c : ans){cout << c << endl;}
  //cout << fixed << setprecision(15) << ans << endl;
  return 0;
}

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

int lcs(std::string str1, std::string str2) {
    std::vector<std::vector<int> > table(str1.size(), std::vector<int>(str2.size(), 0));
    // Initialization
    for (int i=0; i<str1.size(); i++) {
        if ( str1[i] == str2[0] ) {
            table[i][0] = 1;
        }
    }
    for (int j=0; j<str2.size(); j++) {
        if ( str2[j] == str1[0] ) {
            table[0][j] = 1;
        }
    }
    // Calculate LCS
    for (int i=1; i<str1.size(); i++) {
        for (int j=1; j<str2.size(); j++) {
            if ( str1[i] == str2[j] ) {
                table[i][j] = std::max(std::max( table[i-1][j], table[i][j-1] ), table[i-1][j-1]+1);
            } else {
                table[i][j] = std::max( table[i-1][j], table[i][j-1] );
            }
        }
    }
    return table[str1.size()-1][str2.size()-1];
}

int main() {
    int n;
    std::cin >> n;
    std::string str1, str2;
    std::vector<int> res(n);
    for (int i=0; i<n; i++) {
        std::cin >> str1 >> str2;
        res[i] = lcs(str1, str2); 
    }
    for (int i=0; i<n; i++) {
        std::cout << res[i] << std::endl;
    }
}

C++: #include<iostream>
#include<string>
#include<algorithm>
usig name 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=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;
 
}