You are given an angle angang.
The Jury asks You to find such regular nn-gon (regular polygon with nn vertices) that it has three vertices aa, bb and cc (they can be non-consecutive) with ∠abc=ang∠abc=ang or report that there is no such nn-gon.
If there are several answers, print the minimal one. It is guarantied that if answer exists then it doesn't exceed 998244353998244353.
Input
The first line contains single integer TT (1≤T≤1801≤T≤180) — the number of queries.
Each of the next TT lines contains one integer angang (1≤ang<1801≤ang<180) — the angle measured in degrees.
Output
For each query print single integer nn (3≤n≤9982443533≤n≤998244353) — minimal possible number of vertices in the regular nn-gon or −1−1 if there is no such nn.
思路:模拟:最少三个点才能有角度,所以从3开始模拟
#include <bits/stdc++.h>
#define ll long long
#define INF 0x3f3f3f3f
#define mod 998244353
using namespace std;
double n;
int main(){
int t;
cin>>t;
while(t--){
cin>>n;int i,f=0;
for(i=3;i<400;i++){
double du=360.0/i;
for(int j=1;j<i-1;j++){//i-1表示若分为i份,最多i-2个组成角度
int a=(int)j*du/2;
if(a==n){
f=1;
break;
}
}
if(f)break;
}
cout<<i<<endl;
}
return 0;
}
使用gcd,求出和180的最大公约数,
#include<bits/stdc++.h>
using namespace std;
int T,n,ans;
int main(){
cin>>T;
while(T--){
cin>>n;
int zz=__gcd(n,180);
zz=180/zz;
while(180*(zz-2)/zz<n) zz*=2;
cout<<zz<<endl;
}
return 0;
}