Amicable pairs: Difference between revisions

m
ANSI Standard BASIC moved to the BASIC section.
(→‎{{header|Julia}}: Just learned, that we can use headlines to mark alternative versions.)
m (ANSI Standard BASIC moved to the BASIC section.)
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17296 and 18416 are an amicable pair
</pre>
 
=={{header|ANSI Standard BASIC}}==
 
{{Trans|GFA Basic}}
 
<syntaxhighlight lang="ansi standard basic">100 DECLARE EXTERNAL FUNCTION sum_proper_divisors
110 CLEAR
120 !
130 DIM f(20001) ! sum of proper factors for each n
140 FOR i=1 TO 20000
150 LET f(i)=sum_proper_divisors(i)
160 NEXT i
170 ! look for pairs
180 FOR i=1 TO 20000
190 FOR j=i+1 TO 20000
200 IF f(i)=j AND i=f(j) THEN
210 PRINT "Amicable pair ";i;" ";j
220 END IF
230 NEXT j
240 NEXT i
250 !
260 PRINT
270 PRINT "-- found all amicable pairs"
280 END
290 !
300 ! Compute the sum of proper divisors of given number
310 !
320 EXTERNAL FUNCTION sum_proper_divisors(n)
330 !
340 IF n>1 THEN ! n must be 2 or larger
350 LET sum=1 ! start with 1
360 LET root=SQR(n) ! note that root is an integer
370 ! check possible factors, up to sqrt
380 FOR i=2 TO root
390 IF MOD(n,i)=0 THEN
400 LET sum=sum+i ! i is a factor
410 IF i*i<>n THEN ! check i is not actual square root of n
420 LET sum=sum+n/i ! so n/i will also be a factor
430 END IF
440 END IF
450 NEXT i
460 END IF
470 LET sum_proper_divisors = sum
480 END FUNCTION</syntaxhighlight>
 
=={{header|AppleScript}}==
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=={{header|BASIC}}==
==={{header|ANSI Standard BASIC}}===
{{Trans|GFA Basic}}
<syntaxhighlight lang="ansi standard basic">100 DECLARE EXTERNAL FUNCTION sum_proper_divisors
110 CLEAR
120 !
130 DIM f(20001) ! sum of proper factors for each n
140 FOR i=1 TO 20000
150 LET f(i)=sum_proper_divisors(i)
160 NEXT i
170 ! look for pairs
180 FOR i=1 TO 20000
190 FOR j=i+1 TO 20000
200 IF f(i)=j AND i=f(j) THEN
210 PRINT "Amicable pair ";i;" ";j
220 END IF
230 NEXT j
240 NEXT i
250 !
260 PRINT
270 PRINT "-- found all amicable pairs"
280 END
290 !
300 ! Compute the sum of proper divisors of given number
310 !
320 EXTERNAL FUNCTION sum_proper_divisors(n)
330 !
340 IF n>1 THEN ! n must be 2 or larger
350 LET sum=1 ! start with 1
360 LET root=SQR(n) ! note that root is an integer
370 ! check possible factors, up to sqrt
380 FOR i=2 TO root
390 IF MOD(n,i)=0 THEN
400 LET sum=sum+i ! i is a factor
410 IF i*i<>n THEN ! check i is not actual square root of n
420 LET sum=sum+n/i ! so n/i will also be a factor
430 END IF
440 END IF
450 NEXT i
460 END IF
470 LET sum_proper_divisors = sum
480 END FUNCTION</syntaxhighlight>
 
==={{header|BASIC256}}===
{{trans|FreeBASIC}}
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