Submission #342401

#	Time	Username	Problem	Language	Result	Execution time	Memory
342401		limabeans	Euklid (COCI20_euklid)	C++17	35 / 110	1093 ms	2032 KiB

euklid

#include <bits/stdc++.h>
using namespace std;

template<typename T>
void out(T x) { cout << x << endl; exit(0); }
#define watch(x) cout << (#x) << " is " << (x) << endl





using ll = long long;
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());

const int maxn = 1e6 + 10;

bool sieve[maxn];
vector<int> primes;


ll R(ll a, ll b) {
    if (a<b) swap(a,b);
    if (b==1) return a;
    return R(a/b, b);
}




void solve1(ll g, ll h) {
    assert(g==h);
    cout<<g<<" "<<g*g<<"\n";
}


void solve2(ll g, ll h) {
    assert(h==2);
    cout<<2*g<<" "<<g<<"\n";
}


void solve3(ll g, ll h) {
    assert(g==h*h);

    ll a = g*h;
    ll b = g;
    assert(R(a,b)==h);
    cout<<a<<" "<<b<<"\n";    
}

void solve(ll g, ll h) {
    for (ll x=1; ; x++) {
	auto idx = lower_bound(primes.begin(),primes.end(), x*h) - primes.begin();
	if (idx == (int)primes.size()) {
	    continue;
	}
	int p = primes[idx];
	
	if (p/x == h) {
	    ll A = p*g; ll B = x*g;
	    if (R(A,B) == h) {

		//cout<<g<<" "<<h<<": "<<A<<" "<<B<<endl;
	    
		assert(R(A,B)==h);
		assert(__gcd(A,B)==g);
		cout<<A<<" "<<B<<"\n";
		return;
	    }
	}
    }
}


int main() {
    ios_base::sync_with_stdio(false); cin.tie(0);  cout.tie(0);

    for (int i=2; i<maxn; i++) {
	if (!sieve[i]) {
	    primes.push_back(i);
	    for (int j=2*i; j<maxn; j+=i) {
		sieve[j] = true;
	    }
	}
    }


    int t;
    cin>>t;
    while (t--) {
	ll g,h;
	cin>>g>>h;
	
	if (g==h) {
	    solve1(g,h);
	} else if (h==2) {
	    solve2(g,h);
	} else if (g==h*h) {
	    solve3(g,h);    
	} else {
	    solve(g,h);
	}
    }
    
    return 0;
}

• Subtask 1: 4 / 4
• Subtask 2: 8 / 8
• Subtask 3: 8 / 8
• Subtask 4: 15 / 15
• Subtask 5: 0 / 40
• Subtask 6: 0 / 35