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++: #define _USE_MATH_DEFINES

#include <array>
#include <iostream>
#include <string>
#include <sstream>
#include <vector>
#include <utility>
#include <tuple>
#include <algorithm>
#include <limits>
#include <fstream>
#include <numeric>
#include <stack>
#include <queue>
#include <list>
#include <cstring>
#include <unordered_set>
#include <cmath>
#include <iomanip>

namespace
{
	template<int N>
	std::array<int, N> GetValue(std::istream& stream)
	{
		std::string buf;
		std::getline(stream, buf);

		std::stringstream sstr(buf);
		std::array<int, N> retval;

		for (int i = 0; i < N; ++i)
		{
			std::getline(sstr, buf, ' ');
			retval[i] = std::stoi(buf);
		}

		return retval;
	}

	std::vector<int> GetValue(std::istream& stream, int num, char delim)
	{
		std::string buf;
		std::getline(stream, buf);
		std::stringstream sstr(buf);

		std::vector<int> retval;
		retval.reserve(num);

		std::string input;;
		for (int i = 0; i < num && std::getline(sstr, input, delim); ++i)
		{
			retval.push_back(std::stoi(input));
		}

		return retval;
	}

	int GetValue(std::istream& stream)
	{
		int in;
		stream >> in;

		return in;
	}

	std::vector<std::string> GetValueString(std::istream& stream, int num, char delim)
	{
		std::string buf;
		std::vector<std::string> retval;
		retval.reserve(num);

		std::getline(stream, buf);
		std::stringstream sstr(buf);

		for (int i = 0; i < num && std::getline(sstr, buf, delim); ++i)
		{
			retval.push_back(std::move(buf));
		}

		return retval;
	}

	template<typename Itr>
	void PrintLine(Itr begin, Itr end)
	{
		bool first = true;

		for (int i = 0; begin != end; ++begin, ++i)
		{
			if (!first)
			{
				std::cout << ' ';
			}

			std::cout << (*begin);

			first = false;
		}
		std::cout << std::endl;
	}

	template<typename T>
	void Print(const std::vector<T>& sequence)
	{
		for (const auto& e : sequence)
		{
			std::cout << e << '\n';
		}

		std::cout << std::flush;
	}

	const int kLen = 1000;
	int c[kLen + 1][kLen + 1] = {};

	int Lcs(std::string x, std::string y)
	{
		int m = x.size();
		int n = y.size();

		int max = 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] = std::max(c[i - 1][j], c[i][j - 1]);
				}
				max = std::max(max, c[i][j]);
			}
		}

		return max;
	}
}

int main(int argc, char* argv[])
{
	auto file = (argc == 1) ? std::ifstream() : std::ifstream(argv[1]);
	std::istream& stream = (argc == 1) ? std::cin : file;
	if (argc == 1)
	{
		std::cin.tie(0);
		std::ios::sync_with_stdio(false);
	}

	int num;
	stream >> num;
	std::string x, y;

	for (int i = 0; i < num; ++i)
	{
		stream >> x >> y;
		std::cout << Lcs(x, y) << std::endl;
	}
}

C++: #include <stdio.h>
#include <stdint.h>
#include <iostream>
#include <fstream>
#include <cassert>
#include <climits>
#include <vector>
using namespace std;

#define DEBUG (0)

#if DEBUG
#define DPRINTF(...) do { \
    printf("D(L%d) %s: ", __LINE__, __func__); \
    printf(__VA_ARGS__); \
  } while (false)
#else
#define DPRINTF(...)
#endif // DEBUG


vector<string> getCombinations(string str, int len)
{
  assert(0 < len && len <= str.length());

  vector<string> combinations;

  if (len == 1)
  {
    for (int i = 0; i < str.length(); i++)
      combinations.push_back(str.substr(i, 1));

    return combinations;
  }

  for (int i = 0; i <= str.length() - len; i++)
  {
    const char c = str[i];
    vector<string> recursive = getCombinations(str.substr(i+1), len - 1);

    for (string str : recursive)
      combinations.push_back(c + str);
  }

  return combinations;
}


bool findCombination(string src, string find)
{
  vector<string> combinations = getCombinations(src, find.length());

  for (string str : combinations)
  {
    if (str == find)
      return true;
  }

  return false;
}


int getLCSlen(string s0, string s1)
{
  const string* pStrLong;
  const string* pStrShort;

  if (s0.length() < s1.length())
  {
    pStrShort = &s0;
    pStrLong = &s1;
  }
  else
  {
    pStrShort = &s1;
    pStrLong = &s0;
  }


  const int kLenInvalid = -1;
  int longestLen = kLenInvalid;
  int len = pStrShort->length();

  while (longestLen == kLenInvalid && len > 0)
  {

    vector<string> candidates = getCombinations(*pStrShort, len);

#if DEBUG & 0
    for (string str : candidates)   DPRINTF("%s\n", str.c_str());
#endif // DEBUG

    for (string candidate : candidates)
      if (findCombination(*pStrLong, candidate))
        longestLen = len;

    len--;

  }

  return longestLen;
}


int main()
{
  int numOfPair;
  cin >> numOfPair; cin.ignore();

  DPRINTF("num of pair %d\n", numOfPair);

  for (int i = 0; i < numOfPair; i++)
  {
    string str0, str1;
    cin >> str0 >> str1; cin.ignore();

    DPRINTF("str0 %s  str1 %s\n", str0.c_str(), str1.c_str());

    cout << getLCSlen(str0, str1) << endl;
  }

  return 0;
}