This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <cstdio>
const int N = 10000;
const int NUMERIC = 2000000;
typedef long long int64;
const int64 MOD = 1000000007;
int n;
int64 a[N], b[N], d[NUMERIC];
int main(void) {
scanf("%d", &n);
for (int i = 0; i < n; i++)
scanf("%lld %lld", &a[i], &b[i]);
for (int i = 1000000; i >= 1; i--) {
int64 cnt = 1;
for (int j = 0; j < n; j++) {
int bdiv = b[j] / i;
int adiv = (a[j] - 1) / i;
int64 tmpcnt = (bdiv - adiv);
cnt = (cnt * tmpcnt) % MOD;
}
d[i] = cnt;
for (int j = i + i; j <= 1000000; j+=i) {
d[i] = (d[i] - d[j] + MOD) % MOD;
}
}
int64 ans = 0;
for (int i = 1; i <= 1000000; i++) {
ans += (int64) i * d[i];
ans = ans % MOD;
}
printf("%lld\n", ans);
return 0;
}
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