結果

問題 No.1158 GCD Products easy
ユーザー heno239heno239
提出日時 2020-08-13 19:39:13
言語 C++14
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 133 ms / 2,000 ms
コード長 3,473 bytes
コンパイル時間 1,283 ms
コンパイル使用メモリ 116,816 KB
実行使用メモリ 35,208 KB
最終ジャッジ日時 2024-10-09 19:29:39
合計ジャッジ時間 5,786 ms
ジャッジサーバーID
（参考情報） 		judge1 / judge5
このコードへのチャレンジ
（要ログイン）

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 120 ms
35,208 KB
testcase_01 AC 119 ms
34,060 KB
testcase_02 AC 119 ms
34,312 KB
testcase_03 AC 117 ms
34,316 KB
testcase_04 AC 119 ms
33,544 KB
testcase_05 AC 119 ms
34,820 KB
testcase_06 AC 124 ms
33,928 KB
testcase_07 AC 122 ms
34,180 KB
testcase_08 AC 117 ms
34,052 KB
testcase_09 AC 122 ms
33,804 KB
testcase_10 AC 119 ms
34,056 KB
testcase_11 AC 124 ms
34,824 KB
testcase_12 AC 121 ms
33,548 KB
testcase_13 AC 125 ms
34,568 KB
testcase_14 AC 127 ms
34,700 KB
testcase_15 AC 122 ms
33,932 KB
testcase_16 AC 126 ms
34,060 KB
testcase_17 AC 133 ms
34,824 KB
testcase_18 AC 128 ms
34,184 KB
testcase_19 AC 126 ms
34,308 KB
testcase_20 AC 127 ms
34,568 KB
testcase_21 AC 130 ms
33,800 KB
testcase_22 AC 125 ms
33,544 KB
testcase_23 AC 123 ms
34,056 KB
testcase_24 AC 129 ms
33,928 KB
testcase_25 AC 125 ms
33,672 KB
testcase_26 AC 127 ms
34,696 KB
権限があれば一括ダウンロードができます

ソースコード

diff # 

#include<iostream>
#include<string>
#include<cstdio>
#include<vector>
#include<cmath>
#include<algorithm>
#include<functional>
#include<iomanip>
#include<queue>
#include<ciso646>
#include<random>
#include<map>
#include<set>
#include<bitset>
#include<stack>
#include<unordered_map>
#include<utility>
#include<cassert>
#include<complex>
#include<numeric>
using namespace std;

//#define int long long
typedef long long ll;

typedef unsigned long long ul;
typedef unsigned int ui;
constexpr ll mod = 1000000007;
const ll INF = mod * mod;
typedef pair<int, int>P;
#define stop char nyaa;cin>>nyaa;
#define rep(i,n) for(int i=0;i<n;i++)
#define per(i,n) for(int i=n-1;i>=0;i--)
#define Rep(i,sta,n) for(int i=sta;i<n;i++)
#define rep1(i,n) for(int i=1;i<=n;i++)
#define per1(i,n) for(int i=n;i>=1;i--)
#define Rep1(i,sta,n) for(int i=sta;i<=n;i++)
#define all(v) (v).begin(),(v).end()
typedef pair<ll, ll> LP;
typedef double ld;
typedef pair<ld, ld> LDP;
const ld eps = 1e-12;
const ld pi = acos(-1.0);

ll mod_pow(ll x, ll n, ll m = mod) {
	ll res = 1;
	while (n) {
		if (n & 1)res = res * x % m;
		x = x * x % m; n >>= 1;
	}
	return res;
}
struct modint {
	ll n;
	modint() :n(0) { ; }
	modint(ll m) :n(m) {
		if (n >= mod)n %= mod;
		else if (n < 0)n = (n % mod + mod) % mod;
	}
	operator int() { return n; }
};
bool operator==(modint a, modint b) { return a.n == b.n; }
modint operator+=(modint& a, modint b) { a.n += b.n; if (a.n >= mod)a.n -= mod; return a; }
modint operator-=(modint& a, modint b) { a.n -= b.n; if (a.n < 0)a.n += mod; return a; }
modint operator*=(modint& a, modint b) { a.n = ((ll)a.n * b.n) % mod; return a; }
modint operator+(modint a, modint b) { return a += b; }
modint operator-(modint a, modint b) { return a -= b; }
modint operator*(modint a, modint b) { return a *= b; }
modint operator^(modint a, ll n) {
	if (n == 0)return modint(1);
	modint res = (a * a) ^ (n / 2);
	if (n % 2)res = res * a;
	return res;
}

ll inv(ll a, ll p) {
	return (a == 1 ? 1 : (1 - p * inv(p % a, a)) / a + p);
}
modint operator/(modint a, modint b) { return a * modint(inv(b, mod)); }

const int max_n = 1 << 20;
modint fact[max_n], factinv[max_n];
void init_f() {
	fact[0] = modint(1);
	for (int i = 0; i < max_n - 1; i++) {
		fact[i + 1] = fact[i] * modint(i + 1);
	}
	factinv[max_n - 1] = modint(1) / fact[max_n - 1];
	for (int i = max_n - 2; i >= 0; i--) {
		factinv[i] = factinv[i + 1] * modint(i + 1);
	}
}
modint comb(int a, int b) {
	if (a < 0 || b < 0 || a < b)return 0;
	return fact[a] * factinv[b] * factinv[a - b];
}

ll gcd(ll a, ll b) {
	if (a < b)swap(a, b);
	while (b) {
		ll r = a % b; a = b; b = r;
	}
	return a;
}

const int mn = 10000000;
bool isp[mn + 1];
vector<int> ps;

vector<int> ups, dws;
void init() {
	fill(isp + 2, isp + mn + 1, true);
	for (int i = 2; i <= mn; i++) {
		if (!isp[i])continue;
		ps.push_back(i);
		for (int j = 2 * i; j <= mn; j += i) {
			isp[j] = false;
		}
	}
}

void solve() {
	int a, b, n; cin >> a >> b >> n;
	modint ans = 1;
	for (int p : ps) {
		ll c = p;
		vector<int> v;
		v.push_back(c);
		while (c * p <= mn) {
			c *= p;
			v.push_back(c);
		}
		ll sum = 0;
		rep(j, v.size()) {
			int num = b / v[j] -(a - 1) / v[j];
			sum += mod_pow(num, n, mod - 1);
		}
		ans *= mod_pow(p, sum, mod);
	}


	
	cout << ans << "\n";
}





signed main() {
	ios::sync_with_stdio(false);
	cin.tie(0);
	//cout << fixed << setprecision(10);
	//init_f();
	init();
	//expr();
	//int t; cin >> t; rep(i, t)
	solve();
	return 0;
}
0