In the present of microscopic imaging technology, both the large imaging field of view (FOV), and high-resolution are required. The Fourier ptychographic microscopy (FPM) does not need to move the sample and can keep the original FOV unchanged. It can expand the frequency bandwidth and reconstruct high-resolution intensity and phase images by using the angle diversity and synthetic aperture. It has a very important application prospect in the field of biomedical detection. However, the LED, used as the illumination source in the FPM, is an extended light source, and the light emitting unit with a certain size will cause the image blurring. Therefore, a reconstruction algorithm based on Lucy-Richardson (L-R) deconvolution is proposed in this paper. The experimental results show that the proposed algorithm can solve the problem of image blurring in FPM imaging and improve the imaging quality.