从1到100这100个自然数中取10个数,使它们的倒数和等于1

1=1/2+1/3+1/6
=1/2+(1/4+1/5+1/20)+(1/7+1/8+1/56)
=(1/3+1/6)+1/4+1/5+1/20+1/7+1/8+1/56
=1/3+1/4+1/5+1/6+1/7+(1/9+1/10+1/90)+1/20+1/56
=1/3+1/4+1/5+1/6+1/7+1/9+1/10+1/20+1/56+1/90