Maybe this will help? I tend to use a little more punctuation that is strictly necessary when accessing nested structures, but I find easier to use it than remember when I can get away with not doing so. I think the consistancy helps readability also.

If you don't like the -l switch, you'll have to append "\n" to all the print statements.

#! perl -slw
use strict;

my $map = {
    LSS1 => {
        LUN1 => [ qw[ HOST1 HOST2 HOST3 ] ],
        LUN2 => [ qw[ HOST1 HOST3 ] ],
    },
    LSS2 => {
         LUN1 => [ qw[ HOST1 HOST2 HOST3 ] ],
         LUN2 => [ qw[ HOST1 HOST3 ] ],
    },
};

for my $L1 ( keys %{ $map } ) {
    print $L1;
    for my $L2 ( keys %{ $map->{ $L1 } } ) {
        print "\t$L2";
        print "\t\t$_" for @{ $map->{ $L1 }{ $L2 } };
    }
}

__END__
P:\test>junk4
LSS2
        LUN2
                HOST1
                HOST3
        LUN1
                HOST1
                HOST2
                HOST3
LSS1
        LUN2
                HOST1
                HOST3
        LUN1
                HOST1
                HOST2
                HOST3
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