Proper divisors: Difference between revisions

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</pre>
 
=={{header|Free Pascal}}==
<syntaxhighlight lang="pascal">
Program ProperDivisors;
 
Uses fgl;
 
Type
TIntegerList = Specialize TfpgList<longint>;
 
Var list : TintegerList;
 
Function GetProperDivisors(x : longint): longint;
{this function will return the number of proper divisors
and put them in the list}
 
Var i : longint;
Begin
list.clear;
If x = 1 Then {by default 1 has no proper divisors}
GetProperDivisors := 0
Else
Begin
list.add(1); //add 1 as a proper divisor;
i := 2;
While i * i < x Do
Begin
If (x Mod i) = 0 Then //found a proper divisor
Begin
list.add(i); // add divisor
list.add(x Div i); // add result
End;
inc(i);
End;
If i*i=x Then list.add(i); //make sure to capture the sqrt only once
GetProperDivisors := list.count;
End;
End;
 
Var i,j,count,most : longint;
Begin
 
list := TIntegerList.Create;
For i := 1 To 10 Do
Begin
write(i:4,' has ', GetProperDivisors(i),' proper divisors:');
For j := 0 To pred(list.count) Do
write(list[j]:3);
writeln();
End;
count := 0; //store highest number of proper divisors
most := 0; //store number with highest number of proper divisors
For i := 1 To 20000 Do
If GetProperDivisors(i) > count Then
Begin
count := list.count;
most := i;
End;
writeln(most,' has ',count,' proper divisors');
list.free;
End.
</syntaxhighlight>
{{out}}
<pre>
1 has 0 proper divisors:
2 has 1 proper divisors: 1
3 has 1 proper divisors: 1
4 has 2 proper divisors: 1 2
5 has 1 proper divisors: 1
6 has 3 proper divisors: 1 2 3
7 has 1 proper divisors: 1
8 has 3 proper divisors: 1 2 4
9 has 2 proper divisors: 1 3
10 has 3 proper divisors: 1 2 5
15120 has 79 proper divisors
</pre>
 
=={{header|Frink}}==
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