(180-19)/2轵Τϵ᤿
ŷϿ͡ 72ڡ 0:13:54 34729
Ҥ
ץäƤޤޤ
ʼ˸ 72ڡ 0:15:22 34730
ޤ륱
٤Фʤ顢ǤȤޤ
ʤ줬񤭤ơס˥ꥢ륿໲á

ΤۤϡȣʬơɬפʸĿͤޤ

˴ؤƤϡ֣ס֣ס֣פΣ̤ꡢͤȡ̤ꡣ
ϡäΣϸǡȣȣ¤֣ס֣ס֣ס֣סͤȡ⣷̤ꡣ
ƣȤޤ

72ڡ 0:23:24 34731

񤭤ޤäĴ٤ޤ
¡äȤ⡡ȣ˻ޤΤ
դꡡäΣλؿ餫ˣ
ȤϣλؿȣλؿȤ߹碌ͤޤ
λؿϡ
ʣ¡ˡʣˡʣˡʣˡʣˡʣˡʣˡʣˤΣ̤
λؿ
ʣ¡áˡʣˡʣˡʣˡʣ
ʣˡʣˡʣ
Σ̤
äƣߣᣴ̤ꡣӤ줿
ޡ 72ڡ 0:23:58 34732
Ѥ
ߥ¿
C2^4ޤळȤ餫ǤΤCΰˣĴޤޤƤ뤫Ǿʬޤ
֡ 72ڡ 0:26:02 HomePage:֥34733
tomh
ޥ뤵󡢤ǤȤޤ. (^^;
ԡ 72ڡ 0:45:37 MAIL:tomh@yahoo.co.jp HomePage:H to M34735

夲̤ˤʤ餺
ǧڤǡ^^;
72ڡ 1:05:58 34736

ݤ

ȤꤢA,Bͤ롣
A,BʤȤ22233ޤޤƤ롣
Cˤ2222ޤޤƤ롣
A,BξȤ72ǤʤȤ
Τ褦A,Bμ12̤ꤢ롣(Ĵ٤ƤߤƤ)
ΤȤC=144Ǥ롣
A,Bɤ餫72ΤȤ
A=72Ȥȡ
B=1,2,4,8,3,6,12,24ΤȤC=144
B=9,18,36,72ΤȤC=16,48,144

ʾη̤
62+82+(42-1)349̤

άǴۤƤ
1:30ƬϥեžǤޤ
72ڡ 1:18:37 34737
Mr.ǥ
#34732ȤޤäƱǤ

ޥ뤵󡡡ʤǤˤǤȤޤ
1ǯ1ǯû褦ˤʤäƤȤǤ礦10ǯ,20ǯˤϡ
Ƥʾû뤳ȤˤʤǤ礦ͤϻۤƺФŤͤƤ

ֳƸĿͤˤơΤοդΥԡɤ٤ʤꡦǾγư̡ʴưζ̡ˤ
ۤɡû褦ˤʤäƤΤǤϤʤפȺǶפäƤޤ

áϲ񤤤Ƥޤá
;ʬʽ񤭹߼餷ޤOnZ
72ڡ 1:36:32 34738
ȿ(Hensha)
A 1 B 72 C 144 A 2 B 72 C 144 A 3 B 72 C 144
A 4 B 72 C 144 A 6 B 72 C 144 A 8 B 9 C 144
A 8 B 18 C 144 A 8 B 36 C 144 A 8 B 72 C 144
A 9 B 8 C 144 A 9 B 24 C 144 A 9 B 72 C 16
A 9 B 72 C 48 A 9 B 72 C 144 A 12 B 72 C 144
A 18 B 8 C 144 A 18 B 24 C 144 A 18 B 72 C 16
A 18 B 72 C 48 A 18 B 72 C 144 A 24 B 9 C 144
A 24 B 18 C 144 A 24 B 36 C 144 A 24 B 72 C 144
A 36 B 8 C 144 A 36 B 24 C 144 A 36 B 72 C 16
A 36 B 72 C 48 A 36 B 72 C 144 A 72 B 1 C 144
A 72 B 2 C 144 A 72 B 3 C 144 A 72 B 4 C 144
A 72 B 6 C 144 A 72 B 8 C 144 A 72 B 9 C 16
A 72 B 9 C 48 A 72 B 9 C 144 A 72 B 12 C 144
A 72 B 18 C 16 A 72 B 18 C 48 A 72 B 18 C 144
A 72 B 24 C 144 A 72 B 36 C 16 A 72 B 36 C 48
A 72 B 36 C 144 A 72 B 72 C 16 A 72 B 72 C 48
A 72 B 72 C 144 49̤Ǥ͡
澭פ顡 72ڡ 6:01:58 34739
mit
ȯ򤷤ޤ

ȤľܤϴطʤȤ⤦ΤǤ
̤ lcm(A,B)=k 褦
(A,B)θĿ (2v_p+1) Ǥ͡
nѿξγĥñȻפޤ
(pkڤǿΤưȤơkpλؿv_pȤƤޤ)

Ǥϻ䤫Ǥ
lcm(A,B,C)=360 A,B,CȤθĿϤĤǤ礦
ʤˤƤϡ֤ؤΤΤ
ƱΤȤƥȤȤޤ
72ڡ 7:38:01 34740
abcba@jugglermoka
C144,48,16Τ줫Ǹ72Ĵ٤ƤδϵǤ
72ڡ 10:11:39 34742
(Keigei)
#34740򤹤˽񤯤ΤϵޤΤǡġ
ȤθĿϣοǡɴΰ̡ΰ̡ΰ̤οդĹȤ뻰ѷȡλѷΤҤȤĤγѤ 60ǡ
Ȥ360ޤΤƤȤθĿϣοǡɴΰ̡ΰ̡ΰ̤οդĹȤ뻰ѷȡλѷΤҤȤĤγѤ 120Ǥ͡

72ڡ 14:22:17 34743
uchinyan
Ϥˤϡơϡ
٤Ƥ񤭽ФƤⲿȤʤǤˡޤ®򤯤Ȥ줽ǡĿŪˤϡǤ (^^;
ʴǤޤ

ޤ72 = 2 * 2 * 2 * 3 * 3144 = 2 * 2 * 2 * 2 * 3 * 3 դȡʤȤ⡤
A = (2 ѡĿ 0 3 ǽ) * (3 ѡĿ 0 2 ǽ)
B = (2 ѡĿ 0 3 ǽ) * (3 ѡĿ 0 2 ǽ)
C = (2 ѡĿ 0 4 ǽ) * (3 ѡĿ 0 2 ǽ)
ǤA B κǾܿ 72פȤȤ顤
A 2 B 2 Τɤ餫 2 * 2 * 2A 3 B 3 Τɤ餫 3 * 3
ǤʤФʤޤ
ǡ2 ˴ؤƤϡ
AB C ȤκǾܿ 144פʤΤǡC 2 2 * 2 * 2 * 2 ǤʤФʤ餺
ΤȤA 2 B 2 ϡ4 + 4 - 1 = 7 ̤ ǽǤ
ޤ3 ˴ؤƤϡ
A 3 B 3 ξȤ 3 * 3 ΤȤC 3 133 * 3 3 ̤ꡤΤ 1 * 3 = 3 ̤ ǽ
A 3 3 * 3 B 3 ǤʤȤC 3 3 * 3 Τ 2 * 1 = 2 ̤ ǽ
B 3 3 * 3 A 3 ǤʤȤC 3 3 * 3 Τ 2 * 1 = 2 ̤ ǽ
ǡɡ3 ˴ؤƤ 3 + 2 + 2 = 7 ̤ ǽǤ
ǡ2 βǽʾο 3 βǽʾοȤݤơ7 * 7 = 49 ̤ ˤʤޤ
ͥνȡ 72ڡ 11:37:27 MAIL:uchi@sco.bekkoame.ne.jp 34744
???
Option Explicit
Sub Macro1()
Sheets("Sheet1").Select
Cells(1, 1).Value = 0
Dim A As Integer
Dim B As Integer
Dim C As Integer
For A = 1 To 72
For B = 1 To 144
If LCM(A, B) = 72 Then
For C = 1 To 144
If LCM(B, C) = 144 And LCM(C, A) = 144 Then
Cells(1, 1).Value = Cells(1, 1).Value + 1
Cells(Cells(1, 1).Value, 2).Value = A
Cells(Cells(1, 1).Value, 3).Value = B
Cells(Cells(1, 1).Value, 4).Value = C
Range("B" & Cells(1, 1).Value).Select
End If
Next C
End If
Next B
Next A
Range("A1").Select
End Sub
Private Function GCM(ByVal x As Integer, ByVal y As Integer) As Integer
If y = 0 Then
GCM = x
Else
GCM = GCM(y, x Mod y)
End If
End Function
Private Function LCM(ByVal x As Integer, ByVal y As Integer) As Integer
LCM = x * y / GCM(x, y)
End Function
72ڡ 13:21:56 34745
uchinyan
ǼĤɤߤޤ
#34731
٤Фʤ顢ǤȤޤ
ޥ뤵󡤤äΤʡä (^^;ǤȤޤ^^/

ơˡǤɽ͡Ǥ¼Ʊ褦ʤȤͤƤΤǤϤʤʡȤƤޤ
ޤǤ⡤

#34730#34745#34747#34748#34753
ץˤˡ

#34731#34732#34738#34744#34754
ǰʬ򤷤Ǥ 2 (2 Τ٤)3 (3 Τ٤) ܤβǽʾοˡ

#34733
C2^4ޤळȤ餫ǤΤCΰˣĴޤޤƤ뤫Ǿʬޤ
Ȥˡ

#34737
AB ξȤ 72 Ǥʤ 72 Ǿʬˡ

#34739
񤭽ФȤ⡤ץफʡȤˡ

#34742
C144,48,16Τ줫Ǹ72Ĵ٤ƤδϵǤ
Ȥˡ

ʤ

#34740
̤ lcm(A,B)=k 褦
伫(A,B)θĿ (2v_p+1) Ǥ͡
Ǥ͡

lcm(A,B,C)=360 A,B,CȤθĿϤĤǤ礦
ʤˤƤϡ֤ؤΤΤ
ƱΤȤƥȤȤޤ
#34743
#34740򤹤˽񤯤ΤϵޤΤǡġ
ȤΤǡθƤޤ礦 (^^;
ĿŪˤϡ#34743Τ䤳ҥȡΥåˤϤޤäƤޤä
ͥνȡ 73ʶ 13:32:21 MAIL:uchi@sco.bekkoame.ne.jp 34746

! 桼åɤθ߽ˡˤ2κ
! 2ϡǤ褤.
FUNCTION gcd(a,b)
IF b=0 THEN
LET gcd=a
ELSE
LET gcd=gcd(b,MOD(a,b))
END IF
END FUNCTION
FOR A=1 TO 144
FOR B=1 TO 144
LET X=gcd(A,B)
IF A*B/X=72 THEN
FOR C=1 TO 144
LET X=gcd(B,C)
IF B*C/X=144 THEN
LET X=gcd(C,A)
IF C*A/X=144 THEN
PRINT A;B;C
LET Z=Z+1
END IF
END IF
NEXT C
END IF
NEXT B
NEXT A
PRINT Z
END
ԡ 72ڡ 14:28:12 34747
Ȥ
mupad light 2.5.3Υץߥ󥰤

for a from 1 to 144 do
for b from 1 to 144 do
for c from 1 to 144 do
if ilcm(a,b)=72 and ilcm(b,c)=144 and ilcm(c,a)=144 then print(a,b,c)
end_if
end_for
end_for
end_for:

ϤĤȰ㤤ƤߤΤǤץߥ󥰤5ʬǤǤޤ
˭ԡ 72ڡ 14:51:15 MAIL:fttnm528@ybb.ne.jp 34748
ޥ
Ĥ6/30ˡ39ФˤʤޤˤΤա꤬Ȥޤ

ޡϤ줫³ƤޤΤǡޤ򤤤ȻפäƤ֤ϡĤФȻפޤǥ
PowerBook 72ڡ 19:10:08 MAIL:masaru-y@sansu.org HomePage:Men @ Work34749
ͧοʺ
ͤ630ޤޤ71С
ɸϴ77ФǤ뤫ʤ
72ڡ 23:26:19 34750
uchinyan
ͧοʺ⤪ǤǤȤޤ
ޥ뤵Ʊ 6/30 ȤϴǤ͡

ޥ뤵󤬤⤦ 39 ȤΤ϶äǤʻβ᤮Τ®ΡФǤ (^^;ˡ
֤פȤ½ʤ⻻򤺡Ĺ³ƤΤˤƬޤ
ͧοʺ 70 ĶƤ⤪˻äʤäƤΤˤ⡢Ƭޤ
ϻ¤⤢Ū˸Ȥ⤢ޤѨۤʤ顢ͤɤɸȤĺפޤ

󡢤줫⵹ꤤפޤ
ͥνȡ 73ʶ 9:00:20 MAIL:uchi@sco.bekkoame.ne.jp 34751
ͧοʺ
uchinyan󡢿Ȥ;뤪ͭ񤦤ޤΤ
ʤäƤʤ򥵥ޥ饤Τڤߤˤ
ƤޤȤꤤޤ
73ʶ 9:41:33 34752
Ҥ
for aa=0 to 4
for ab=0 to 2
a=2^aa * 3^ab
Ȥ褦ѿΰ򤷤ΤǤ
ߤʤΤ򸫤Ƥ1 to 144Ǥ褫äʡ
ɵ񤬤뤳ȤǤ
䤬ǤĻ֤Τۤäݤɤ롦

ޡ#34732Τ餤Τ褦ʤΤǤ
ʼ˸ 73ʶ 10:25:15 34753

2,3Ǥ줾첿̤꤫
ߣᣴ
ܿĻԡ 73ʶ 10:43:55 MAIL:ݣ塥 HomePage:34754
PlaNet
2μȤ߹碌Ϥ˵줿ΤǤ
3μˤĤƺ礬2ʤOKȴ㤤Ƥޤޤ
A,B,CΤʤȤ2ĤǼ2ǤʤȤʤΤǤ͡
75 19:24:18 34755
ߡ
٤Ǥ
ʼDz򤤤
á144ΤȤ72ʤ¤12̤ꡤ¤72ʤ12̤ꡤξ72Τǡݣ¤72Ǥʤʤܿ¤ܿΤȤ̤ꡤդΤǣ̤Թ12ߣݣܣߣ35
ä16or48ΤȤ¤ȤˣܿȤʤƣ̤ꡣ

ƻƤ뤱ɡǽˣá1444816ξʬȯۤʤȤǤ礦
77ʲС 19:04:57 34756