include[HTML_REMOVED]
define N 100005
using namespace std;
int a[N],b[N];
int main()
{
int n,x;
cin>>n;
for(int i=0;i[HTML_REMOVED]>a[i];
sort(a,a+n);
x=a[1]-a[0];
for(int i=1;i<n-1;i++)
{
b[i]=a[i+1]-a[i];
x=__gcd(x,b[i]);
}
if(a[0]==a[1])
{
cout<<n;
return 0;
}
cout<<(a[n-1]-a[0])/x+1;
return 0;
}