In this paper, we propose a novel adaptive beamforming algorithm with low signal distortion capability and high computational efficiency. The proposed algorithm incorporates the crosstalk-resistant adaptive noise canceller (CTRANC) in place of the usual adaptive interference canceller (AIC). Doing so, a better signal leakage estimate is provided at the adaptive interference canceller input but with lower computational cost. Consequently, the noise and interference adaptation process is improved which further minimizes the signal cancellation at the output. Based on the robust generalized sidelobe canceller (RGSC), the proposed algorithm moreover guarantees robustness to steering vector errors.