Are there integral (integer) solutions for this equation?

a/b + b/c + c/a = 1

This is where a, b, c belong to the set of integers.

As you can tell from the beginning, none of a, b, c can equal 0.

Note: The set of integers are { . . . , -3, -2, -1, 0, 1, 2, 3, . . . }.

I do not have an answer as to whether or not there are any solutions in integers.