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100 s=0
110 for i=1 to 119
120 if GCD(i,120)=1 then s=s+i
130 next i
140 print s
150 end
200 EXTERNAL FUNCTION GCD(a,b)
210 DO
220 LET r=MOD(a,b)
230 IF r=0 THEN EXIT DO
240 LET a=b
250 LET b=r
260 LOOP
270 LET GCD=b
280 END FUNCTION

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for n:1 thru 119 step 2 do ldisplay(ezgcd(120,n))$
1+7+11+13+17+19+23+29+31+37+41+43+47+49+53+59+61+67+71+73+77+79+83+89+91+97+101+103+107+109+113+119;1920¡¦¡¦¡¦¡¦¡¦¡¦(Åú¤¨)
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10 DECLARE EXTERNAL FUNCTION GCD
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Question470()=
{
¡¡local(i,s);
¡¡s = 0;
¡¡for (i=1,119, if (gcd(i,120)==1, s += i));
¡¡print(s);
}
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http://www2.ocn.ne.jp/~mizuryu/renzoku.html
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@p = ();$s = 0;
foreach $a (1..119) {
¡¡if(($a % 2 != 0) && ($a % 3 != 0) && ($a % 5 != 0)) {
¡¡¡¡$s += $a;
¡¡¡¡push(@p,$a);
¡¡}
}
print "$s\n@p\n";
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120°Ê²¼¤Î120¤ÈÁǤοô¤òk¤È¤·¤¿¾ì¹ç¡£120-k¤Ï¡Ê120°Ê²¼¤Ç¡Ë
120¤ËÂФ·¤ÆÁǤǤ¢¤ë¡£
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120°Ê²¼¤ÎÁǤθĿô¤òm¤È¤·¤¿¤È¤­

¦²k = ¦²(120-k) = 120¡ßm - ¦²k

¦²k = (120¡ßm)¡¿2

120°Ê²¼¤ÎÁǤθĿô¤Ï

120 = 2^3 ¡ß 3 ¡ß 5¤Ç¤¢¤ë¤³¤È¤«¤é

2 ¡ß 3 ¡ß 5 = 30°Ê²¼¤ÎÁǤοô¤òk'¤È¤·¤¿¤È¤­

30¡ßn¡¡+ k' ¡Ê£î¤Ï¼«Á³¿ô¡Ë¤ÏÁǤǤ¢¤ë¤«¤é
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120°Ê²¼¤ÎÁǤθĿô¤Ï30°Ê²¼¤ÎÁǤθĿô¤Î4ÇÜ(2^2)¤È¤Ê¤ë¡£

30°Ê²¼¤ÎÁǤθĿô¤Ï8¸Ä¤À¤«¤é¡¢

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¤Þ¤¿¡¢2, 3, 5 ¤Ç³ä¤ì¤Ê¤¤¤³¤È¤ò¥Á¥§¥Ã¥¯¤¹¤ì¤Ð½½Ê¬¤Ê¤Î¤Ç¡¢GCD¤¬¤Ê¤¯¤Æ¤â¤Ç¤­¤Þ¤¹¤Í ^^:
¸Ä¿ÍŪ¤Ë¤Ï¡¢ÁÇ¿ô¤ò¸«¤Ä¤±¤ë¤È¤­¤ä¤ë¥¨¥é¥¹¥È¥Æ¥Í¥¹¤Î¤Õ¤ë¤¤¤Î¤è¤¦¤Ë¡¢¿ô»ú¤òʤ٤ơ¢2, 3, 5 ¤ÎÇÜ¿ô¤ò¾Ã¤·¤Æ¤¤¤Ã¤Æ¡¢
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1 + 7 + 11 + 13 + 17 + 19 + 23 + 29 + 31 + 37 + 41 + 43 + 47 + 49
+ 53 + 59 + 61 + 67 + 71 + 73 + 77 + 79 + 83 + 89 + 91 + 97
+ 101 + 103 + 107 + 109 + 113 + 119
= (1 + 119) + (7 + 113) + (11 + 109) + (13 + 107)+ (17 + 103) + (19 + 101) + (23 + 97) + (29 + 91)
+ (31 + 87) + (37 + 83) + (41 + 79) + (43 + 77) + (47 + 73) + (49 + 71) + (53 + 67) + (59 + 61)
= 120 * 16
= 1920
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