Segment anything model (SAM) has achieved great success in the field of natural image segmentation. Nevertheless, SAM tends to classify shadows as background, resulting in poor segmentation performance for shadow detection task. In this paper, we propose an simple but effective approach for fine tuning SAM to detect shadows. Additionally, we also combine it with long short-term attention mechanism to extend its capabilities to video shadow detection. Specifically, we first fine tune SAM by utilizing shadow data combined with sparse prompts and apply the fine-tuned model to detect a specific frame (e.g., first frame) in the video with a little user assistance. Subsequently, using the detected frame as a reference, we employ a long short-term network to learn spatial correlations between distant frames and temporal consistency between contiguous frames, thereby achieving shadow information propagation across frames. Extensive experimental results demonstrate that our method outperforms the state-of-the-art techniques, with improvements of 17.2% and 3.3% in terms of MAE and IoU, respectively, validating the effectiveness of our method.