By KIMBERLY PIERCEALL LAS VEGAS (AP) — Sheldon Adelson, the billionaire mogul, Republican mega-donor and power broker who built a casino empire spanning from Las Vegas to China and became a singular force in domestic and international politics, has died after a long illness. Adelson died at 87 from complications related to treatment for non-Hodgkin’s lymphoma, Las Vegas Sands announced Tuesday. He