We do - to a lesser extent - some refer to it as "manstruating". Women cycle because of hormones causing the monthly release of ovum and shedding and rebuilding of their vaginal wall, and thus the bleeding. We have hormone cycling, too, but if men shed their penises and then have it rebuilt painfully, we wouldn't be able to masturbate. It's nature's kindness to us to allow us to keep our cock intact for us to play with ourselves. :P
But we do go through to a lesser extent the mood changes associated with the monthly cycle. It's just less drastic than women.