��ҳ > ��ʷ�� > ��Ѫ�� > �� 462 ��ô��

�� 462 ��ô��

2013-06-22 ��ߣ� ��

()1923��10��11ri��賿ʱ�֣��ٵĵ绰��˶��ϼ��ִzheng fu��ľ��԰�¹��˯�¾��绰��˼��䣬��se��һ��yin��

��ˣ�

��Ϣʵ��̫��ˣ��ı��ֽ��Ӻ�½��ı��פ�;��Ȼͬʱ��꣡�Ѿ��Ѫ�оͶ�ȡ�˱��ӵ��Կ��Ͽ�ĺ��ӣ��԰��Щ��ڰ��ű�һ��ʱzheng fu��ִ��ˡ��Ȼ�Ѿ��ѽ��Ҳ�Ͳ��ò�Ϊ��ri��δ��ս��һ��ˣ��Ҳ��Ⱥgc��Ĺ��ri��Ϊ�ǽ��ζ��ri��ٲ��Ԩ�� . .

һ�뵽gc��壬��԰�¹��ͻȻ��ֳ��һ��档��se��ri��һ��̫��ri��е��Ⱥ��һֱ��쵽̨�嵺��й��ͺ��ȫ��ټ��ͬ�й��ű߾��ͳ��һ�ź�c��ӡ�ȵĻ��й��ɾ��ȫ��ؽ�һ��se��ˣ��λ��հԶ��й�Ԫ˧Ӧ��Ҳ�ܿ��һ�㣿

�뵽��౩��׵��ӣ��԰�¾ͳ��˿��Ȼһ��seri��й��ô��鷳��ô�й��Ӧ�þͲ��ri��ȣ��й��Ӣ��Ҳ��ϣ��ri��໯�ģ��ri��gcd��ԣ��ⳡ��ս��ri��߳�� . .

��Ŀǰ��յ��ȷ�ű��ֽ��ӡ�½��103ʦ��Ѿ��ꡣ��α��**��һ��Ѿ��ʼ�ɹ��ڹȺ�Ͽ��½��·�ͻȻ��ҷ��ɭ�صĲ��ǳ��飬��α��**��ʱ��ȡ��һ��ж��ƽ��ͻ��Ͽ��ϱ��ݵ��

��8�㣬ri��ʱzheng fu�Ľ��ϣ�½��й��غ��һ��Ϊ��ʱzheng fu�ĸ߹��ǽ��µ�ս��֪��Ҳ�ǳ��ޣ�ֻ��뵱Ȼ�Ĺ��rig��Ƶľ�**��һ��ж��

��һ��Ȼ��Ҷ��Ѿ��ϵ�ri��һ��ս��˭Ҳ��뵽�Է��Ķ��Ѹ�ٵ��˵ز��ȷ��Ī˹�Ƶ�ԣ�ʺ�ƬɽǱ��̫��ͻȻ��ѣ��Ҳ�֪��ʲô�취��һ��֧��Ӻ�һ��ʦ�ŵ�½��꣡��ŵ�ͼ��Ѿ��Ⱦ��ı��ոպ�Ӣ��ʹ̸��һ��ҹ��ҵ�һ��Ǯ��·�ĸ��ʵ��緿̫�ɺͰ��ɶ��ô��ô��Ͷ��gcd��أ��ѵ��Ƕ��gcdǱ��ߵļ��𣿡�

��˭��֪��һ��ʱzheng fu��ߵĵ�λҲ��ͣ��ô��һ��ӵ��أ��Ȼ�ˡ��ôҲ�벻��ri��gcd��Ȼ��ƽ��¡��ģ��Щ�˵�˼ά��ͣ��ڹ�ս��û�м�ʱת�䵽��ս��ȥ��й��ͷ�Ǻ��һ��Ǿ��ж��ǵĶԻ��Э��߲��Ҳ��һ��ԭ�򡣡�

��ž��Ӣ��Ǯ��̸��ô��ˣ��û�п��ܽ赽һ�ʾ��ѣ��԰�¹��ӹ��ʡ�

��һЩüĿ�ˡ��ʹ��ʾ��zheng fu��ṩһ��Ԫ�Ĳ��ǣ��Ǵ��gcd֮ǰ��ri��Ͻ��ӵ�ȫ��Ѳ�󽢱��ȥ��ͣ��

��а��ִ��ٸ��£�ri��û��Ͻ��ӣ��˵��Ǽ��ɡ��˵��ri��ͬ�й��ĺ�ƽЭ�黹û��ǩ��Ͻ��Ψһ�ĳ��롣��һ��̸��ѵĻ��

��پ��ض�˵�ˡ��԰�¹��˰��֣��ϵ��Ͻ��׼��ǰ��Ϊ��̫��Ҫ��˵Ľ��ȶ��ˡ��

��ȷ��ri��ʱzheng fu̫��ҪǮ�ˡ��ľ��ҪǮ��ȶ�Ѹ�ٱ�ֵ�е�ri��ҪǮ��㹻��ʳ��ι��ҪǮ��һ��ĵķ��սͬ��Ҫ��Ѵ��Ľ�Ǯ��

��һ��Ӱ��ˣ��Ҳ֪��û��Ԫ��ri��ʱzheng fu��ά�ֲ��˼��졣��Ǿ��Ԫ�Ĵ����Ҳ��һ��ܴ�Ӯս��Ͻ��ȥ��ͣ��Ƿ��س�seri��Ȼ��Ƕ��Ƿ�g��ķ��ɣ��Ƕ�ri��Ȱ�Ҳ��ԣ��Ƭɽ�٣��ǳ�se��ri��Ҳ��ri��

��˶��ڣ��԰�¹��Ҳ̾�˿��ҵĿ��ǣ��һ��ⳡս��ri��Ҫ��Ϊ��ĸ�ӹ�ˣ��ǿ��Ͻ��ri��Ҳֻ��Ϊ��Ĺ��ߣ��ri��Բ��ܴ��棬��ֻ��Ը��֧��

��

��ʱzheng fuæ��Ͻ��ӵ�Ѻ��Ǯ��ͬʱ��ri��ڵľ��ƶ��˵ȴ�ڼ��֮�У�

10��15ri��ڱ��ֵĵ��죬�Ѿ��ri��**��ʦ��ӵ�ԭ103ʦ�ž��ڱ��ֽ��ӵİ��ǿ��Ͽ��˱��ݶ��ɭ�ء��ͬʱ��**��һ��̫��ϲ��ɹ��ڹȺ�Ͽ��ſ��ȹ��ԴԴ��Ͻ��뱱��

16ri��ԣ�ʺ�ƬɽǱҲ��ṩ�ķɻ��ִ��˱��׸��С��ȫri��ȹ�ίԱ��Ϊri��Ψһ�Ϸ�zheng fu��ȫ��ȹ�ίԱ��ּ��쵼ri��񿹻��й��Ծ��ri��Ȩ��Ϊ�˴��Ŀ�ꡣ�ȹ�ίԱ��Ը��ͬһ��ri��ȫ��Ը��ri��񿹻��Ѱ��к��ͬʱԣ�ʻ��ɿ��ȹ��ʷʹ��ˣ��Ѱ��ָ��ʵ�λ��ri��Ĺ��Ҳ��ri��ԣ�ʻ��ri��½��ٱ��zheng fu��ͬ��;ȹ�ίԱ��վ��һ��Ϊ��ri��du lizi you��ս��

��Ϣһ��ri��ٹ��𾪣�ri��ؼ��ͬʱ��ӵ��ԣ�ʺͷ��ԣ�ʵ��ʾ��ȳ��л��Ⱥ�ڵļ��ҳ�ͻ��ھȹ�ίԱ��ʵȨ��ri��gcd֮�֡��ri��ĸ�ԣ�ײ�׷׿�ʼ��ǰ��ǰ��֡�̨��ִ��ϼ��ϼҴ��ڣ��Ǯ�ˣ��ri��غ͹�Ʊ�۸񡣻��riԪ��Ҳ��ri��ӵ��Ͷ�ʵ��˾��һ�ɳ��ʵĿ�chao��

��10��25ri��ri��ʱzheng fu��ͬ��ɽ��Э�飬��ȶ��г��¡�riԪ��ʻ��ڶ̶̼�ri�ڵ�ȥ��һ�롣�׼��˰ٷ�֮һ�ٶ�ʮ֮�࣡��ri��˽�˺��ʹ�˾��׷׹��Ъҵ��ʧҵ�˿�Ҳ�ڶ��ڱ��

һ��ں�Ҳ��ǹض��պ��µ�11��1ri��ri��ٴη��ģ��Ⱥ��п��飬��һ��ǿ��Ŀ�Ƿ��ս��

��

��ίԱ��ǳ��˽�Ŀǰri��ڵ��ƣ��Ϊ��ҵ�һԱ��̫ƽ��Ҫ��й��ǲ��Ӧ��Ϊri��ֵ��ȶ��Щʲô�أ�ri��ĳ��Ҳ�ǲ��Ĺ�ͬ��ġ��

�ض��º��11��1ri��磬��Ͼ��ɽ��ί��¥�Ļ����ϸ��ŷû��ɱ��ܶ��ɵ�.��½��ķϻ��ɵ�.��1910�굽1914��ڼ��½��ܲ�ı��Ǹ��Ĵ��սͬŷ�޺�ri��Ȩ��**��ӡ��ľ��硢��ŷ�ͬһ��Ӱ��һ��2��Ԫ��Ϊ��۽�ri��Ͻ��롱��ȥͣ��⡣��Ϊ��ͳ��֥��8��2ri��ಡ��ҵ��ˣ��ʹ��ͳ��̽��ri��İ취�ˡ�

��üͷ��ɵ�.��µķϻ��ʵ�Ѿ�֪��ʹ�ڴ�ʲô��ˡ��һ��й��Ϻ�̸��ò��԰��ri��zheng fu��ͳ��Σ��ߺߣ��ǳ��룡��Ȼ��ô�룬�ɳ��ϻ��Ƕ��˳�ֿ��΢Ц��ǰ��һ��ӣ�˵��ܶ��ri��ڹ��Һ��й�ǰ��쵼��ɽ��ʵ��һֱϣ��ͬ��Ѻ��ദ�ġ��ȴ��ǵ��꣡��ҵ��겻�ܽ��ڵ��渶��Ļ��֮�ϣ��ri��һ��һ��٣��ٶ��˺��ǵĶ��ھ�Ӧ�õõ�Ӧ�еĳͷ��

��ίԱ��ҵĻ��ˡ��ɵ�.��Ѿ��׵�üë��ǰ��Ҫ��˵��й�ͳ��ߣ�΢΢��һ��죬��ص��ڵ��ĵ��Ŀǰri��Σ��п��ܱ��gc��һ��ʱ��ri��ĳ໯ֻ��໯��޵Ŀ�ʼ��һ��п��ܻ��ֵ��ɱ��Ȼ��Ǻ��ӡ�Ⱥͷ��ӡ��֧�ǣ��ٽ��ȥ��Ӣ��顢Ӣ��ӡ�ȣ��浽��һ��й��ɾ�Ҫ��gc��ʵ��Ű�Χ�ˣ�ίԱ��ѵ��ڲ�Ӧ��Я��ֹ�ⳡ��ѵķ��𣿡�

��ֹ��ſ�Ц��ʵ��ڻ��İ취�𣿡�

��ɱ��ܶ�Ц��˵��еģ�ίԱ��ֹri��Ƽ��񻯵İ취��Ȼ�Ǵ��ڵģ��ֻ��Ը��Ը��ȥ��ri��Ѿ��Ϊȱ��ȼ��ɥʧ��ս��ʵ��Ǻܿ��Ҫ��ͣ��ˡ��¡�ӵ��̫ƽ��ǿ��½��й��ӵ��̫ƽ��ǿ�󺣾��Э��̫ƽ��ʲô��첻��أ��

��˼��ϸ��ri��սô��Щ�Ծ��ʡ�

��Ȼ��Ǹ��ri��ս��ϵ�ͣ��ע�⵽��9��1ri�Ĵ��ίԱ��ri��Ŀ�еĵ�λ�Ѿ��΢��ı仯��ri��Ҳ�в��ѣ��ܹ��֡�Ӧ�ÿ��ֹ��̬�Ľ�һ��󡣡�

��ɵ�.��¶��һ�£��ּ��˵��ڵ�ͣ��ͬʱ��ǻ�Ӧ��ʵʩ��ri��ˡ��ri��ڵı��Ϊȱ��ԭ�Ϻ��ᶯ��ͣ��û��㹻��ԭ��ri��ǵ��ս��ȻҲ�ʹ��ˡ��⣬��ǻ�Ӧ��϶ش�ri��ʱzheng fu��컹��񣬺��һ��ȱ��Ȩ��ri��Σ��ĸ�Դ��ԭ�򡣡�

��ˣ��

��л��˹��ʡ��ǰ��ò��gcd��Ա��İ취��Ҫ��ri��ʱzheng fu��ò��찡��

��

��ϵ�ͣri��ս��ʵ�ж�ri��˵��Ϣ��ri��ʱ�򡣶��ʱzheng fu��ʵ��û�а�̫��jing��ս��档��ǽ��ֵ��Ǹ��̯��ʵ��˽�ͷ�ö��ٵ��Σ��˵��Ѿ�ռ��ɭ�أ��׼��½��ʢ�Ժ��ص�ri��**��ri��ʧ�ص�ͨ��ͣ�

��ʱzheng fu��ͷ��Ҫ�Ǵ��ʱ��Ĺ��ͣ��ɱɱʲô��δ��У��𾭼��һ�Ѻ��֡��Ƕ��ף��ri��ľ��Ѿ��ˣ��ܰѾ��ôӱ��Ȼ��ζ��Ӯ��ս�ġ��Դ�Ӯ��ս��ǰ��Ⱦ��ã��Ⱦ��õ�ǰ��ȶ��ڡ��˵��ֻ��ȶ��ˡ�

ri��Ĳ�ҵ�ṹ��ֳ��۹��ľ��ģʽ��ԭ�Ϻ��г��Ҫ��ֳ��ء��չ��ҵ��ri��Ҫ��ֳ��Զ��Ѿ��й��rigռ�ݣ��ʰ뵺��̨��Ҳ��ս��ҡ�û��ֳ��ص��г��Դ��ô�˥�˼��ǲ��ɱ��ģ��һ��˹ض��ĸ��ս��˾��ñ��Ҳ��ˡ�

��ri��ͨ��˵��ǲ��Ҳ��Ҫ֪��ri��ñ��ԭ��ע�ľ��Щ��ϵĶ��ʧҵ��ͨ��͡�ǰ��ҵ��ǵķ��룬��Ƕ��ʡ�Լ��û��һ��Ƹ��˷ɻҡ��ʱ��˭��ri��϶��Ϊ��Թ�޵Ķ��Դ�ĳ��Ͻ��9��3ri�ĸ��˵��Ʒ��ԣ��ʣ��˵��Ϊ��ס�

��ӹ��̯�ӵ��ʱzheng fu��֪��û�а취�α��£�Ҳֻ��ҧ��αꡣ��ʧҵ��ǲ��ܵģ��ȫri��Ĳ�ҵ�ʱ��æ�ų��ӣ��㲻�ӣ��Ҳ��Ӷ��ˡ��ri��ʱzheng fuҲ��ֻ��һ��ͨ��ˡ��ǵİ취��Ԫ��riԪ��ַ��ʱά��סriԪ��á�

�ⳡ��ս��Ǵ�1923��10��20ri��Ԫ��ֽ��Ϻ��н��ri��ʼ�ġ�ri��ڶ��ȵص��г��У��Ͽ�ʼ�˴��ֱʵ��Ԫ�Խ�riԪ��ж��ri��ʱzheng fu��Ĺ��㣬Ŀǰ��ͨ��riԪ��Լ��ʮ��ʮ��Ԫ��10��20ri��ri�һ��Ѿ��һ��Ԫ�ȶ�ʮ��ҡ��ri��кͲ��ܹ��ս��zheng fu��г��е��Ѿ��նҵ��ϵĴ󲿷�ri�ң�ʵ��ϵ��ʱ��ri�ҵĻ��ʾͿ϶��ܴ��ri�ҵ��Ҳ��½��ˡ��Ҳ��ά��ϼ��£��λ��ڣ�ri��ʱzheng fu��뵽��ȶ��õİ취�ˡ�

��ⳡ��ս��Ľ��ȴ��ri��˵��ϣ�(δ��)

��һ�� ǩ Ŀ¼ ��һ��

��ҳ > ��ʷ���� > ��Ѫ����� > �� 462 ����������ô����� ��

�� 462 ����������ô����� ��

��ҳ > ��ʷ�� > ��Ѫ�� > �� 462 ��ô��

�� 462 ��ô��