tye,
I borrowed Algorithm::Loops for the following brute-force approach:
#!/usr/bin/perl
use strict;
use warnings;
use Algorithm::Loops qw/NestedLoops NextPermute/;
my $max = 1;
my $next = GenPowerSet(9);
while ( my @list = $next->() ) {
PERMUTE:
while ( NextPermute(@list) ) {
my $num = join '', @list;
next PERMUTE if $num < $max;
for ( @list ) {
next PERMUTE if $num % $_;
}
$max = $num if $num > $max;
}
}
print $max;
sub GenPowerSet {
my $end = shift;
return NestedLoops(
[
[ 1..$end ],
( sub {
[ $_+1 .. $end ]
} ) x $end,
],
{ OnlyWhen => 1, },
);
}
It came up with 9_867_312 in about 30 seconds.
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