Two different methods from graphic processing unit (GPU) and central processing unit (CPU) are proposed to suitably optimize look-up table algorithms of computer generated holography (CGH). The numerical simulations and experimental results show that we can reconstruct a good quality object. The computation of CGH for a three-dimensional (3D) dynamic holographic display can also be sped up by programming with our proposed method. It can optimize both file loading and the inline calculation process. The phase-only CGH with gigabyte data for reconstructing 10 MB object samplings is generated. In addition, the proposed method effectively reduced time costs of loading and writing offline tables on a CPU. It is believed the proposed method can provide high speed and huge data CGH for 3D dynamic holographic displays in the near future.