This letter investigates movable antenna (MA)-aided downlink (DL) multiuser communication systems under the near-field channel condition, in which both the base station (BS) and the users are equipped with MAs to fully exploit the degrees of freedom (DoFs) in antenna position optimization by leveraging the wireless channel variation in spatial regions of large size. The objective is to minimize the transmit power by jointly optimizing the beamformers and the MA positions while satisfying the minimum-achievable-rate requirement for each user. We propose a two-loop dynamic neighborhood pruning particle swarm optimization (DNPPSO) algorithm that significantly reduces computational complexity while effectively maintaining the performance of the standard particle swarm optimization (PSO) algorithm. Simulation results validate the effectiveness and advantages of the proposed scheme in power-saving for multiuser communications.