1/a+1/b+1/c+1/d+1/e=1 求a,b,c,d,利用公式:1/n=1/n+1,+1/n(n+1)

问题描述:

1/a+1/b+1/c+1/d+1/e=1 求a,b,c,d,利用公式:1/n=1/n+1,+1/n(n+1)

a、b、c、d、e应该都是正整数吧?有很多种结果,如:
1
=1/2+1/4+1/4
=1/2+1/4+1/5+1/20
=1/3+1/6+1/4+1/5+1/20
1
=1/2+1/3+1/6
=1/2+1/3+1/7+1/42
=1/2+1/4+1/12+1/7+1/42