I don't want this?
So how do you want it?
Like this? 

while(<DATA>){
  chomp;
  print $_ unless /^\s*$/;
}


__DATA__
GAGGGTGCAATCTACAAGAGTGCGGGTTCGCGTTCAGTCCAAGCTGAACATAAACGCAAC
GCAAGGCCCCTCGACGCAGATACCGCGCTCAGGAGCATTCGAGAAGCCGAAGAAAATTCG
AAGACGAGGACCAGCTACACTGCGGACGGACTTCGGGCATGGAGGGCCAGTTCCAG

GTTGGCAAGGAGGAGGTCATCCAAGCATGGTACATGGACGACAGTGAAGAGGACCAGAGG
CTTCCTCATCATCGTGAGCCCAAAGAATTCATTCCTCTCGACAAACTTTCCG

AACTAGGAATATTAAGCTGGCGCCTAAATGCTGATGATTGGGAGAATGATGAGAACCTCA
AGAAAATTCGTGAAGCCAGGGGTTACTCTTACATG

GACATTTGTGATGTGTGCCCAGAGAAGTTGCCAAATTACGAGGCTAAGATAAAGAATTTC
TTTGAAGAACACTTGCATACTGATGAAGAGATACGATATTGCCTTGAGGGTAGCG

GCTACTTTGATGTGAGGGACCAAGATGATCAGTGGATCCGTGTAGCGGTAAAGAAAGGGG
GCATGATCGTTTTGCCTGCAGGAATGTATCATCGCTTTACGTTGGATAGTGACAACTACA
TCAAG

GCAATGCGTCTATTTGTGGGTGAGCCTGTCTGGACACCATACAATCGTCCGCATGACCAT
CTCCCGGCTAG

[download]
Update: I think davido have what you wanted in Re^3: How do I remove spaces between sequences in a file

If you tell me, I'll forget.
If you show me, I'll remember.
if you involve me, I'll understand.
--- Author unknown to me

In reply to Re: How do I remove spaces between sequences in a file by 2teez
in thread How do I remove spaces between sequences in a file by bingalee

Title:
Use:  <p> text here (a paragraph) </p>
and:  <code> code here </code>
to format your post, it's "PerlMonks-approved HTML":


  • Posts are HTML formatted. Put <p> </p> tags around your paragraphs. Put <code> </code> tags around your code and data!
  • Titles consisting of a single word are discouraged, and in most cases are disallowed outright.
  • Read Where should I post X? if you're not absolutely sure you're posting in the right place.
  • Please read these before you post! —
  • Posts may use any of the Perl Monks Approved HTML tags:
    a, abbr, b, big, blockquote, br, caption, center, col, colgroup, dd, del, details, div, dl, dt, em, font, h1, h2, h3, h4, h5, h6, hr, i, ins, li, ol, p, pre, readmore, small, span, spoiler, strike, strong, sub, summary, sup, table, tbody, td, tfoot, th, thead, tr, tt, u, ul, wbr
  • You may need to use entities for some characters, as follows. (Exception: Within code tags, you can put the characters literally.)
            For:     Use:
    & &amp;
    < &lt;
    > &gt;
    [ &#91;
    ] &#93;
  • Link using PerlMonks shortcuts! What shortcuts can I use for linking?
  • See Writeup Formatting Tips and other pages linked from there for more info.