求2014的所有正约数的倒数和.
问题描述:
求2014的所有正约数的倒数和.
答
1/1+1/2+1/19+1/38+1/53+1/106+1/1007+1/2014
=2014/2014+106/2014+53/2014+19/2014+2/2014+1/2014
=(2014+106+53+19+2+1)/2014
=2195/2014