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[問題][數學]數論入門題
由 maxravel 於 星期四 十一月 22, 2007 9:36 pm
#ed_op#DIV#ed_cl#請教一題#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl#若a>0,b>0,且(a,b)=1,試證方程式#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl#ax+by=n之非負整數解之個數為[n/ab]或[n/ab]+1#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl#其中[a]為最大之整數,且不超過a者#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl#謝謝#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl##ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl##ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl##ed_op#/DIV#ed_cl#