First, some assumptions:

  1. Numbers means natural numbers
  2. Digits means digits in the decimal representation
  3. Divisible by a digit means divisible without remainder
  4. The digit 0 is excluded, since division by 0 is undefined

There are 9 different digits allowed, and any number having more than 9 digits will necessarily have some digits repeated. So, the upper bound is 987,654,321.

#! perl
use Modern::Perl;

my $count = 0;

OUTER:
for my $n (1 .. 987_654_321)
{
    my %digits;

    ++$digits{$_} for split //, $n;

    for (keys %digits)
    {
        next OUTER if ($_ == 0) || ($digits{$_} > 1) || ($n % $_);
    }

    printf "#%d is %d\n", ++$count, $n;
}

[download]

Hope that helps,

Athanasius <°(((>< contra mundum Iustus alius egestas vitae, eros Piratica,

In reply to Re: Puzzle Time by Athanasius
in thread Puzzle Time by Anonymous Monk

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