# | Time | Username | Problem | Language | Result | Execution time | Memory |
---|---|---|---|---|---|---|---|
485312 | errorgorn | Sažetak (COCI17_sazetak) | C++17 | 5 ms | 204 KiB |
This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
//雪花飄飄北風嘯嘯
//天地一片蒼茫
#pragma GCC optimize("O3,unroll-loops")
#pragma GCC target("avx2,bmi,bmi2,lzcnt,popcnt")
#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
#include <ext/rope>
using namespace std;
using namespace __gnu_pbds;
using namespace __gnu_cxx;
#define ll long long
#define ii pair<ll,ll>
#define iii pair<ii,ll>
#define fi first
#define se second
#define endl '\n'
#define debug(x) cout << #x << ": " << x << endl
#define pub push_back
#define pob pop_back
#define puf push_front
#define pof pop_front
#define lb lower_bound
#define ub upper_bound
#define rep(x,start,end) for(auto x=(start)-((start)>(end));x!=(end)-((start)>(end));((start)<(end)?x++:x--))
#define all(x) (x).begin(),(x).end()
#define sz(x) (int)(x).size()
#define indexed_set tree<ll,null_type,less<ll>,rb_tree_tag,tree_order_statistics_node_update>
//change less to less_equal for non distinct pbds, but erase will bug
mt19937 rng(chrono::system_clock::now().time_since_epoch().count());
long long inverse(long long a, long long m){
long long m0 = m;
long long y = 0, x = 1;
if (m == 1)
return 0;
while (a > 1)
{
// q is quotient
long long q = a / m;
long long t = m;
// m is remainder now, process same as
// Euclid's algo
m = a % m, a = t;
t = y;
// Update y and x
y = x - q * y;
x = t;
}
// Make x positive
if (x < 0)
x += m0;
return x;
}
int n,m;
ll arr[10];
int main(){
ios::sync_with_stdio(0);
cin.tie(0);
cout.tie(0);
cin.exceptions(ios::badbit | ios::failbit);
cin>>n>>m;
n--;
rep(x,0,m) cin>>arr[x];
int lim=1;
rep(x,0,m) lim*=3;
ll ans=0;
rep(xx,0,lim){
ll x=xx;
ll p=1,q=1;
ll par=1;
rep(y,0,m){
if (x%3==1) p=p*arr[y]/__gcd(p,arr[y]);
else if (x%3==2) q=q*arr[y]/__gcd(q,arr[y]);
if (x%3!=0) par*=-1;
x/=3;
if (p>1e9 || q>1e9) break;
}
if (p==1 || q==1) continue;
if (p>1e9 || q>1e9) continue;
if (__gcd(p,q)==1){
ll g=inverse(q,p);
//g*q,(g+p)*q,(g+2p)*q;
//cout<<(n+(p-g)*q)/(p*q)<<endl;
ans+=par*(n+(p-g)*q)/(p*q);
}
}
ll extra=0;
rep(x,0,m) if (n%arr[x]==0) extra=1;
cout<<ans+extra<<endl;
}
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