You can use the simplified CPANPLUS module interface, or CPANPLUS::Backend, the object-oriented way.

# Simple version
use CPANPLUS;

for my $mod (qw/Acme::Drunk Acme::Bleach/) {
    install($mod);
}

# Complex version, probably better
use CPANPLUS::Backend;

my $cb = CPANPLUS::Backend->new();
$cb->install( modules => [ 'Acme::Drunk', 'Acme::Bleach' ] );
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CPANPLUS installs prerequisites automatically, provided you have the configuration option 'prereqs' set to 1.