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發表 lcflcflcf 於 星期一 五月 08, 2006 11:48 pm

設兩數為ak,bk,當中k為最大公因數
ak+bk=k(a+b)=1092
abk=3528
=>13ab=42(a+b)
(a,b)=(6,7)
=>k=84

[問題]最大公因數

發表 tangpakchiu 於 星期一 五月 08, 2006 9:16 pm

#ed_op#DIV#ed_cl##ed_op#SPAN lang=EN-US style="FONT-SIZE: 20pt; FONT-FAMILY: 'Times New Roman'; mso-bidi-font-size: 12.0pt; mso-fareast-font-family: 細明體; mso-font-kerning: 1.0pt; mso-ansi-language: EN-US; mso-fareast-language: ZH-TW; mso-bidi-language: AR-SA"#ed_cl#.#ed_op#/SPAN#ed_cl##ed_op#SPAN style="FONT-SIZE: 20pt; FONT-FAMILY: 細明體; mso-bidi-font-size: 12.0pt; mso-font-kerning: 1.0pt; mso-ansi-language: EN-US; mso-fareast-language: ZH-TW; mso-bidi-language: AR-SA; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'"#ed_cl##ed_op#SPAN style="FONT-SIZE: 14pt; FONT-FAMILY: 細明體; mso-bidi-font-size: 12.0pt; mso-font-kerning: 1.0pt; mso-ansi-language: EN-US; mso-fareast-language: ZH-TW; mso-bidi-language: AR-SA; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'"#ed_cl#設兩正整數之和為#ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US style="FONT-SIZE: 14pt; FONT-FAMILY: 'Times New Roman'; mso-bidi-font-size: 12.0pt; mso-fareast-font-family: 細明體; mso-font-kerning: 1.0pt; mso-ansi-language: EN-US; mso-fareast-language: ZH-TW; mso-bidi-language: AR-SA"#ed_cl#1092#ed_op#/SPAN#ed_cl##ed_op#SPAN style="FONT-SIZE: 14pt; FONT-FAMILY: 細明體; mso-bidi-font-size: 12.0pt; mso-font-kerning: 1.0pt; mso-ansi-language: EN-US; mso-fareast-language: ZH-TW; mso-bidi-language: AR-SA; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'"#ed_cl#,其最小公倍數為#ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US style="FONT-SIZE: 14pt; FONT-FAMILY: 'Times New Roman'; mso-bidi-font-size: 12.0pt; mso-fareast-font-family: 細明體; mso-font-kerning: 1.0pt; mso-ansi-language: EN-US; mso-fareast-language: ZH-TW; mso-bidi-language: AR-SA"#ed_cl#3528#ed_op#/SPAN#ed_cl##ed_op#SPAN style="FONT-SIZE: 14pt; FONT-FAMILY: 細明體; mso-bidi-font-size: 12.0pt; mso-font-kerning: 1.0pt; mso-ansi-language: EN-US; mso-fareast-language: ZH-TW; mso-bidi-language: AR-SA; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'"#ed_cl#,則此兩數的最大公因數=?#ed_op#U#ed_cl#   #ed_op#/U#ed_cl##ed_op#/SPAN#ed_cl##ed_op#/SPAN#ed_cl##ed_op#/DIV#ed_cl#