static long numberOfDivisorsOfProduct ( int [ ] arr , int n ) {
  Arrays . fill ( prime_count , 0 , MAX , 0 ) ;
  for ( int i = 0 ;
  i < n ;
  i ++ ) {
    int temp = arr [ i ] ;
    while ( temp != 1 ) {
      prime_count [ prime [ temp ] ] ++ ;
      temp = temp / prime [ temp ] ;
    }
  }
  long ans = 1 ;
  for ( int i = 2 ;
  i < MAX ;
  i ++ ) {
    ans = ans * ( prime_count [ i ] + 1 ) ;
  }
  return ans ;
}

static long numberOfDivisorsOfProduct ( int [ ] arr , int n ) { Arrays . fill ( prime_count , 0 , MAX , 0 ) ; for ( int i = 0 ; i < n ; i ++ ) { int temp = arr [ i ] ; while ( temp != 1 ) { prime_count [ prime [ temp ] ] ++ ; temp = temp / prime [ temp ] ; } } long ans = 1 ; for ( int i = 2 ; i < MAX ; i ++ ) { ans = ans * ( prime_count [ i ] + 1 ) ; } return ans ; }
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