$| = 1;

print qq(
-------------------------------------------------------
National Lottery Number Picker
-------------------------------------------------------
How many lines do you want to play?  );

my $num_lines = <STDIN>;
$num_lines =~ s/\D+//g;
die "Good.  Don't waste your money!\n" unless $num_lines;

my @numbers = (1..49);
my $output;

for (1..$num_lines) {
    my @line = ();
    my %chosen = ();
    for (1..6) {
        my $element;
        while (!$element || $chosen{$element}) {
            $element = $numbers[rand @numbers];
        }
        push @line, $element;
        $chosen{$element} = 1;
    }
    $output .= join "\t", sort {$a <=> $b} @line;
    $output .= "\n";
}

print $output;

# Then, do your e-mail thing.  Send $output as the message
[download]

And BTW, srand is called implicitly at your first use of rand, as long as you're using perl 5.004 or greater. perldoc srand

#!/usr/bin/perl 
use strict;
print qq(
-------------------------------------------------------
National Lottery Number Picker                    
-------------------------------------------------------
How many lines do you want to play?
);
print "Lines.....:";
my $lines = <STDIN>;
my @lines;
my @line;
die "Good.  Don't waste your money!\n" unless $lines;
my @numbers = (1..49);
srand;
print "\n";
&chooseline();
my $i = 1;
########################################
# Generate The Line(s)  
sub chooseline {
  while ($i < $lines) {
    &genline();        
        push @lines, @line;
        $i++;
        if ($i eq $lines) {
            print "\n\n";
            last;
    }
  }        
  print "\n\n";
}
#########################################
# Generate the numbers
sub genline {
    @line = '';
    my $e = 1;
        while ($e ne "7") {
            my $index   = rand @numbers;
            my $element = $numbers[$index];
            print "    $element";
            if ($e eq "6") {
                print "\n";
                push @line, $element;
                my $newline = "\n";
                push @line, $newline;
            last;
        } else {
            push @line, $element;
        }
        $e++;
} }
print "(E)mail Results / (Q)uit\n\n";
print "Action....:";
my $action = <STDIN>;
exit if $action =~ /^Q/i;
if ($action =~ /^E/i) {
    print "\nEmail address...:";
    my $email;
    $email = <STDIN>;
    chomp($email);
    die "Don't bother then, bye!" if !$email;
    print ("$email, is this correct? (y/n)...:"); 
    my $dcheck = <STDIN>;
exit if $dcheck =~ /^n/i;
    open (MAIL, "|/usr/sbin/sendmail -t");
        print MAIL "To: $email\n";
        print MAIL "From: Lottery Generator\n";
        print MAIL "Subject: Your Lottery Numbers\n";
        foreach my $lin (@lines) {
        print MAIL "$lin    ";
        }
    close (MAIL);
}
[download]

First off, nice bit of code. I only have a couple of points. I would change the newlines in the mailing block to this:

print MAIL "To: $email";
print MAIL "From: Lottery Generator\n";
print MAIL "Subject: Your Lottery Numbers\n\n";
[download]

Secondly, someone's going to tell you so it might as well be me, use strict and warnings. They're really very good :-)

Update: As usual, when I tried applying my own advice, strict and warnings threw up a bunch of problems. Probably the most insightful thing I can say is that you maybe don't want to name three different variables (@lines, $lines and @line) quite such similar names as it leads to confusion.

Now, use strict requires that you be a bit more precise about the scope of your variables. I think the simplest thing here would be to declare those three variables as global (disclaimer: unfortunately I don't have time to go into passing variables into and out of functions. Hopefully someone else will, because globals aren't much fun in anything larger which you write). With that change, and a quick alteration in the $i variable for clarity (and to get around a warning when invoked with the -w warnings switch), I get this as the first part of your code:

#!/usr/bin/perl -w
use strict;

print "-------------------------------------------------------\n";
print "National Lottery Number Picker                         \n";
print "-------------------------------------------------------\n\n";
print "How many lines do you want to play?\n";
print "Lines.....:";
my @lines;
my @line;
my $lines = <STDIN>;
my @numbers = (1..49);
srand;
print "\n";
my $i = 1;
&chooseline();
sub chooseline {
    while ($i <= $lines) {
        &genline();
        push @lines, @line;
        $i++;
        if ($i eq $lines) {
            print "\n\n";
            last;
        }
    }
    print "\n\n";
}
[download]

Have fun,

Tim

Other than that, nice job :).

Rich