#include<iostream>
#include<algorithm>
using namespace std;
int a[100000];
int main(){
int n;
cin>>n;
for(int i=0;i<n;i++){
cin>>a[i];
}
sort(a,a+n);
int minn=100000009;
for(int i=0;i<n-1;i++){
minn=min(minn,a[i+1]-a[i]);
}
if(minn>0&&(a[n-1]-a[0])%minn==0){
cout<<(a[n-1]-a[0])/minn+1;
}else{
cout<<n;//当num=0时，直接输出
}
return 0;
}