I do not think it is so simple. You are still condemning a life. Just because you saved five lives doesn't take away that one was sacrificed. I see the logic of it, do not get me wrong, but I cannot agree with it. I think that both options are horrible. I refuse to accept that there is only one "moral" answer because I refuse to accept a utilitarian notion of justice or ethics. At best, I can see that one choice is less problematic/more pragmatic than another, but I would not say that either choice is morally "right". Moreover, the question itself reduces a human life to simple mathematics to the point it is a stand-in for an abstract notion of life. Saying to save five at the sacrifice of one life is the only moral choice feels more like an absolution to the fact that someone was killed. It seems to take away from the gravity of the fact that someone had to die and the responsibility towards that life.
All in all, I always found this problem deeply troubling and have conflicting views on it.