{"raw_statement":[{"iden":"statement","content":"输入三个正整数 $x,y,z$，求它们的最大公约数（Greatest Common Divisor）$g$：最大的正整数 $g ≥1$，满足 $x,y,z$ 都是 $g$ 的倍数，即 $(x \\bmod g) = (y \\bmod g) = (z \\bmod g) = 0$。"},{"iden":"input","content":"输入一行三个正整数 $x,y,z$。"},{"iden":"output","content":"输出一行一个整数 $g$，表示 $x,y,z$ 的最大公约数。"},{"iden":"note","content":"### 样例解释\n#### 样例 $1$\n$12 = 2 × 6, 34 = 2 × 17, 56 = 2 × 28, g = 2$。\n#### 样例 $2$\n$28 = 14 × 2, 70 = 14 × 5, 28 = 14 × 2,g = 14$。\n### 数据规模\n所有数据满足 $1 ≤ x,y,z ≤ 10^6$。\n> 本题原始满分为 $15\\text{pts}$。"}],"translated_statement":null,"sample_group":[["12 34 56","2"],["28 70 28","14"]],"show_order":[],"formal_statement":null,"simple_statement":null,"has_page_source":false}