結果

問題 No.2526 Kth Not-divisible Number
ユーザー ゆにぽけゆにぽけ
提出日時 2023-11-04 11:37:51
言語 C++17
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 308 ms / 2,000 ms
コード長 3,036 bytes
コンパイル時間 1,416 ms
コンパイル使用メモリ 126,580 KB
実行使用メモリ 4,348 KB
最終ジャッジ日時 2023-11-04 11:37:57
合計ジャッジ時間 5,585 ms
ジャッジサーバーID
(参考情報)
judge12 / judge14
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テストケース

テストケース表示
入力 結果 実行時間
実行使用メモリ
testcase_00 AC 2 ms
4,348 KB
testcase_01 AC 2 ms
4,348 KB
testcase_02 AC 1 ms
4,348 KB
testcase_03 AC 285 ms
4,348 KB
testcase_04 AC 285 ms
4,348 KB
testcase_05 AC 284 ms
4,348 KB
testcase_06 AC 285 ms
4,348 KB
testcase_07 AC 308 ms
4,348 KB
testcase_08 AC 254 ms
4,348 KB
testcase_09 AC 250 ms
4,348 KB
testcase_10 AC 259 ms
4,348 KB
testcase_11 AC 268 ms
4,348 KB
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ソースコード

diff #

#include<iostream>
#include<vector>
#include<algorithm>
#include<cstring>
#include<cassert>
#include<cmath>
#include<ctime>
#include<iomanip>
#include<numeric>
#include<stack>
#include<queue>
#include<map>
#include<unordered_map>
#include<set>
#include<unordered_set>
#include<bitset>
#include<random>
#include<functional>
#include<utility>
using namespace std;
template<int m> struct modint
{
	private:
	unsigned int value;
	static constexpr int mod() {return m;}

	public:
	constexpr modint(const long long x = 0) noexcept
	{
		long long y = x;
		if(y < 0 || y >= mod())
		{
			y %= mod();
			if(y < 0) y += mod();
		}
		value = (unsigned int)y;
	}
	constexpr unsigned int val() noexcept {return value;}
	constexpr modint &operator+=(const modint &other) noexcept
	{
		value += other.value;
		if(value >= mod()) value -= mod();
		return *this;
	}
	constexpr modint &operator-=(const modint &other) noexcept
	{
		unsigned int x = value;
		if(x < other.value) x += mod();
		x -= other.value;
		value = x;
		return *this;
	}
	constexpr modint &operator*=(const modint &other) noexcept
	{
		unsigned long long x = value;
		x *= other.value;
		value = (unsigned int) (x % mod());
		return *this;
	}
	constexpr modint &operator/=(const modint &other) noexcept
	{
		return *this *= other.inverse();
	}
	constexpr modint inverse() const noexcept
	{
		assert(value);
		long long a = value,b = mod(),x = 1,y = 0;
		while(b)
		{
			long long q = a/b;
			a -= q*b; swap(a,b);
			x -= q*y; swap(x,y);
		}
		return modint(x);
	}
	constexpr modint power(long long N) const noexcept
	{
		assert(N >= 0);
		modint p = *this,ret = 1;
		while(N)
		{
			if(N & 1) ret *= p;
			p *= p;
			N >>= 1;
		}
		return ret;
	}
	constexpr modint operator+() {return *this;}
	constexpr modint operator-() {return modint() - *this;}
	constexpr modint &operator++(int) noexcept {return *this += 1;}
	constexpr modint &operator--(int) noexcept {return *this -= 1;}
	friend modint operator+(const modint& lhs, const modint& rhs) {return modint(lhs) += rhs;}
	friend modint operator-(const modint& lhs, const modint& rhs) {return modint(lhs) -= rhs;}
	friend modint operator*(const modint& lhs, const modint& rhs) {return modint(lhs) *= rhs;}
	friend modint operator/(const modint& lhs, const modint& rhs) {return modint(lhs) /= rhs;}
	friend ostream &operator<<(ostream &os,const modint &x) {return os << x.value;}
};
using mint = modint<998244353>;
/* using mint = modint<1000000007>; */
long long gcd(long long a,long long b)
{
	while(b)
	{
		a %= b;
		swap(a,b);
	}
	return a;
}
long long lcm(long long a,long long b) {return a/gcd(a,b)*b;}
long long A,B,K,L;
bool check(long long x)
{
	long long cur = x-x/A-x/B+x/L;
	return cur >= K;
}
void solve()
{
	cin >> A >> B >> K;
	L = lcm(A,B);
	long long ng = 0,ok = (long long)9e18;
	while(ok-ng > 1)
	{
		long long mid = ng + (ok-ng)/2;

		if(check(mid)) ok = mid;
		else ng = mid;
	}
	cout << ok << "\n";
}
int main()
{
	ios::sync_with_stdio(false);
	cin.tie(nullptr);
	int tt = 1;
	cin >> tt;
	while(tt--) solve();
}
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