10*1/19<1/10+1/11+1/12+1/13+1/14+1/15+1/16+1/17+1/18+1/19<10*1/10即10/19<1/10+1/11+1/12+1/13+1/14+1/15+1/16+1/17+1/18+1/19<1取倒数得1<1/(1/10+1/11+1/12+1/13+1/14+1/15+1/16+1/17+1/18+1/19)<1.9所以整数部分是1