从自然数列1,2,3,4....中依次划去2的倍数和3的倍数,但保留所有5的倍数,
从自然数列1,2,3,4。。。。中依次划去2的倍数和3的倍数,但保留所有5的倍数, 悬赏分:50 - 离问题结束还有 12 天 15 小时 但保留所有5的倍数,剩下的数列如下:1,5,7,10,11,13,15,17,19。 。。 在剩下的数列中,第2005个数是几?最好有详细说明 2,3,5最小公倍数30, 前30个数开始:去掉2的倍数(占1/2)剩15个数字,15个数字中去掉3的倍数(占1/3)剩10个数字,10个数字中5的倍数(占1/5)有2个,而30个数字中5的倍数(占1/5)有6个,所以10 6-2=14, 30以内剩余14个数字,分别是 {1, 5, 7, 10, 11, ...全部
从自然数列1,2,3,4。。。。中依次划去2的倍数和3的倍数,但保留所有5的倍数, 悬赏分:50 - 离问题结束还有 12 天 15 小时 但保留所有5的倍数,剩下的数列如下:1,5,7,10,11,13,15,17,19。
。。
在剩下的数列中,第2005个数是几?最好有详细说明 2,3,5最小公倍数30, 前30个数开始:去掉2的倍数(占1/2)剩15个数字,15个数字中去掉3的倍数(占1/3)剩10个数字,10个数字中5的倍数(占1/5)有2个,而30个数字中5的倍数(占1/5)有6个,所以10 6-2=14, 30以内剩余14个数字,分别是 {1, 5, 7, 10, 11, 13, 15, 17, 19, 20, 23, 25, 29, 30} 2005/14=143余数为3,开始30个数中第3个数是7, 所以第2005个数字是: 30*143 7=4297 以下是程序做的结果: {1,5,7,10,11,13,15,17,19,20,23,25,29,30,31,35,37,40,41,43,45,47,49,50,53,55,59,60,61,65,67,70,71,73,75,77,79,80,83,85,89,90,91,95,97,100,101,103,105,107,109,110,113,115,119,120,121,125,127,130,131,133,135,137,139,140,143,145,149,150,151,155,157,160,161,163,165,167,169,170,173,175,179,180,181,185,187,190,191,193,195,197,199,200,203,205,209,210,211,215,217,220,221,223,225,227,229,230,233,235,239,240,241,245,247,250,251,253,255,257,259,260,263,265,269,270,271,275,277,280,281,283,285,287,289,290,293,295,299,300,301,305,307,310,311,313,315,317,319,320,323,325,329,330,331,335,337,340,341,343,345,347,349,350,353,355,359,360,361,365,367,370,371,373,375,377,379,380,383,385,389,390,391,395,397,400,401,403,405,407,409,410,413,415,419,420,421,425,427,430,431,433,435,437,439,440,443,445,449,450,451,455,457,460,461,463,465,467,469,470,473,475,479,480,481,485,487,490,491,493,495,497,499,500,503,505,509,510,511,515,517,520,521,523,525,527,529,530,533,535,539,540,541,545,547,550,551,553,555,557,559,560,563,565,569,570,571,575,577,580,581,583,585,587,589,590,593,595,599,600,601,605,607,610,611,613,615,617,619,620,623,625,629,630,631,635,637,640,641,643,645,647,649,650,653,655,659,660,661,665,667,670,671,673,675,677,679,680,683,685,689,690,691,695,697,700,701,703,705,707,709,710,713,715,719,720,721,725,727,730,731,733,735,737,739,740,743,745,749,750,751,755,757,760,761,763,765,767,769,7。收起