Not a very golfable task. It is practically chosen such that the algorithm cannot be varied, and picking a better algorithm is what golf is really about. Not surprisingly my best entry is a variation on the initial attempt. Alternative approaches were only longer.
# 1 2 3 4 5 6 7
+ 8
#234567890123456789012345678901234567890123456789012345678901234567890
+1234567890
for$a(1..pop){@_{map{sprintf"%.3f",$_[0]*$a/$_}1..$a}++}sort{$a<=>$b}k
+eys%_
grep!$_{$_}++,sort{$a<=>$b}map{$a=$_;map{sprintf"%.3f",$_[0]*$a/$_}1..
+$_}1..pop
my%y=map{$_=>[1..$_]}1..pop;@_{map{sprintf"%.3f",$_[0]*$a/$_}@$b}++whi
+le($a,$b)=each%y;sort{$a<=>$b}keys%_
Makeshifts last the longest.
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