Go: package main

/*
最長共通部分列
*/

import (
	"bufio"
	"bytes"
	"fmt"
	"log"
	"os"
	"strconv"
	"strings"
)

func larger(l, r int) int {
	if l > r {
		return l
	}
	return r
}

var memo [1001][1001]int

func countLCS(x, y string) int {
	x = " " + x
	y = " " + y
	max := 0
	for xi := 1; xi < len(x); xi++ {
		for yi := 1; yi < len(y); yi++ {
			if x[xi] == y[yi] {
				memo[xi][yi] = memo[xi-1][yi-1] + 1
			} else {
				memo[xi][yi] = larger(memo[xi-1][yi], memo[xi][yi-1])
			}
			max = larger(max, memo[xi][yi])
		}
	}
	return max
}

func main() {
	scanner := makeScanner(1024)
	q := eGetInt(scanner)
	for i := 0; i < q; i++ {
		x := eGetLine(scanner)
		y := eGetLine(scanner)
		fmt.Println(countLCS(x, y))
	}
}

////////////////////////////////////////////////////////////////////////////////
// ライブラリ
////////////////////////////////////////////////////////////////////////////////
func makeScanner(maxByte int) *bufio.Scanner {
	scanner := bufio.NewScanner(os.Stdin)
	scanner.Buffer(make([]uint8, 0, 8192), maxByte)
	return scanner
}
func makeWordScanner() *bufio.Scanner {
	scanner := makeScanner(8192)
	scanner.Split(bufio.ScanWords)
	return scanner
}
func eGetLine(r *bufio.Scanner) string {
	if r.Scan() {
		return r.Text()
	}
	err := r.Err()
	if err != nil {
		log.Fatal(err)
	}
	// EOF
	return ""
}
func eGetInt(r *bufio.Scanner) int {
	line := eGetLine(r)
	return eAtoi(line)
}
func eGetFields(r *bufio.Scanner) []string {
	line := eGetLine(r)
	return strings.Fields(line)
}
func eGetInts(r *bufio.Scanner) []int {
	fields := eGetFields(r)
	ints := make([]int, len(fields))
	for i := 0; i < len(ints); i++ {
		ints[i] = eAtoi(fields[i])
	}
	return ints
}
func eGetChars(r *bufio.Scanner) []string {
	line := eGetLine(r)
	return strings.Split(line, "")
}
func eAtoi(s string) int {
	n, err := strconv.Atoi(s)
	if err != nil {
		log.Fatal(err)
	}
	return n
}

type ints []int

func (s ints) String() string {
	var buf bytes.Buffer
	buf.WriteString("[")
	sep := ""
	for _, v := range s {
		buf.WriteString(fmt.Sprintf("%s%d", sep, v))
		sep = ", "
	}
	buf.WriteString("]")
	return buf.String()
}

func reverse(a ints) ints {
	r := make(ints, len(a))
	for i := 0; i < len(a); i++ {
		r[i] = a[len(a)-1-i]
	}
	return r
}
func max(a ints) (int, bool) {
	if len(a) == 0 {
		return 0, false
	}
	m := a[0]
	for _, e := range a {
		if e > m {
			m = e
		}
	}
	return m, true
}
func min(a []int) int {
	m := a[0]
	for _, v := range a {
		if v < m {
			m = v
		}
	}
	return m
}

func sum(a ints) int {
	if len(a) == 0 {
		return 0
	}
	sum := 0
	for _, e := range a {
		sum += e
	}
	return sum
}
func find(n int, a ints) int {
	for i, v := range a {
		if n == v {
			return i
		}
	}
	return -1
}

C++: #include <bits/stdc++.h>
#define ll long long
#define INF 1000000005
#define MOD 1000000007
#define EPS 1e-10
#define rep(i,n) for(int i=0;i<(int)(n);++i)
#define rrep(i,n) for(int i=(int)(n)-1;i>=0;--i)
#define srep(i,s,t) for(int i=(int)(s);i<(int)(t);++i)
#define each(a,b) for(auto& (a): (b))
#define all(v) (v).begin(),(v).end()
#define len(v) (int)(v).size()
#define zip(v) sort(all(v)),v.erase(unique(all(v)),v.end())
#define cmx(x,y) x=max(x,y)
#define cmn(x,y) x=min(x,y)
#define fi first
#define se second
#define pb push_back
#define show(x) cout<<#x<<" = "<<(x)<<endl
#define spair(p) cout<<#p<<": "<<p.fi<<" "<<p.se<<endl
#define sar(a,n) cout<<#a<<":";rep(pachico,n)cout<<" "<<a[pachico];cout<<endl
#define svec(v) cout<<#v<<":";rep(pachico,v.size())cout<<" "<<v[pachico];cout<<endl
#define svecp(v) cout<<#v<<":";each(pachico,v)cout<<" {"<<pachico.first<<":"<<pachico.second<<"}";cout<<endl
#define sset(s) cout<<#s<<":";each(pachico,s)cout<<" "<<pachico;cout<<endl
#define smap(m) cout<<#m<<":";each(pachico,m)cout<<" {"<<pachico.first<<":"<<pachico.second<<"}";cout<<endl

using namespace std;

typedef pair<int,int> P;
typedef pair<ll,ll> pll;
typedef vector<int> vi;
typedef vector<vi> vvi;
typedef vector<ll> vl;
typedef vector<vl> vvl;
typedef vector<double> vd;
typedef vector<P> vp;
typedef vector<string> vs;

const int MAX_N = 100005;

const int MAX_SIZE = 52;

int LCS(const char* a, const char* b){
    int n = 0, m = 0;
    vector<int> x,y;
    for(;a[n] != '\0';n++){
        int s = a[n]-'a';
        if(s < 0){
            s = a[n]-'A'+26;
        }
        x.pb(s);
    }
    for(;b[m] != '\0';m++){
        int s = b[m]-'a';
        if(s < 0){
            s = b[m]-'A'+26;
        }
        y.pb(s);
    }
    vector<vector<int> > vec(MAX_SIZE);
    for(int j = m-1; j >= 0; --j){
        vec[y[j]].push_back(j);
    }
    vector<int> xs(n+1, INF);
    xs[0] = -INF;
    vector<P> nx(n+1,P(-INF,-INF));
    rep(i,n){
        vector<int>& ys = vec[x[i]];
        rep(j,(int)ys.size()){
            int k = lower_bound(xs.begin(),xs.end(),ys[j]) - xs.begin();
            xs[k] = ys[j];
            nx[k] = P(y[ys[j]], k-1);
        }
    }
    return lower_bound(xs.begin(),xs.end(),INF-1) - xs.begin() - 1;
}


int main()
{
    int q;
    scanf("%d",&q);
    rep(i,q){
        char x[1000], y[1000];
        scanf("%s%s",x,y);
        cout << LCS(x,y) << "\n";
    }
    return 0;
}

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

using namespace std;

array< array<int, 50001>, 20> dp{{}};
array<int, 20> denominations;

int main()
{
    int n, m;
    cin >> n >> m;
    for (int i = 0; i < m; ++i) {
        int coin;
        cin >> coin;
        denominations[i] = coin;
    }
    sort(begin(denominations), begin(denominations) + m);
    iota(begin(dp[0]), end(dp[0]), 0);
    
    for (int row = 1; row < m; ++row) {
        for (int col = 1; col <= n; ++col) {
            int coin = denominations[row];
            int use_coin, dont_use_coin;
            if (col >= coin) {
                use_coin = 1 + dp[row-1][col-coin];
            }
            dont_use_coin = dp[row-1][col];
            dp[row][col] = col >= coin ?
                min(use_coin, dont_use_coin) :
                dont_use_coin;
        }
    }
    cout << dp[m-1][n] << endl;
}

C++: #include<cstdio>
#include<iostream>
#include<cstdlib>
#include<cmath>
#include<vector>
#include<list>
#include<map>
#include<algorithm>

using namespace std;

int solve(string x, string y)
{
    vector<vector<int> > c(x.size(), vector<int>(y.size(), 0));

    if (x[0] == y[0]) {
        c[0][0] = 1;
    }

    for (int i = 1; i < x.size(); i++) {
        if (c[i - 1][0] == 1 || x[i] == y[0]) {
            c[i][0] = 1;
        } else {
            c[i][0] = 0;
        }
    }
    for (int i = 1; i < y.size(); i++) {
        if (c[0][i - 1] == 1 || x[0] == y[i]) {
            c[0][i] = 1;
        } else {
            c[0][i] = 0;
        }
    }

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

    return c[x.size() - 1][y.size() - 1];
}

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

    vector<string> x(q), y(q);
    for (int i = 0; i < q; i++) {
        cin >> x[i] >> y[i];
    }
    for (int i = 0; i < q; i++) {
        cout << solve(x[i], y[i]) << endl;
    }

    return 0;
}

C++: #include<iostream>
#include<string>
using namespace std;
int L[1001][1001];
int main(){
    int N;
    string X,Y;
    cin >>N;
    for(int k=0;k<N;++k){
        cin>>X>>Y;
        for(int i=1;i<X.length()+1;++i){
            for(int j=1;j<Y.length()+1;++j){
                if(X[i]==Y[j]){
                    L[i][j]=L[i-1][j-1]+1;
                }
                else
                    L[i][j]=max(L[i-1][j],L[i][j-1]);
                
            }
        }
        cout<<L[X.length()][Y.length()]<<endl;
    }
    return 0;
}